Magnetism, dynamo action and the solar-stellar connection

Aarnio AN, Matt SP, Stassun KG (2012) Mass loss in pre-main-sequence stars via coronal mass ejections and implications for angular momentum loss. Astrophys J 760:9. doi:10.1088/0004-637X/760/1/9. arXiv:1209.6410 Abbett WP, Beaver M, Davids B, Georgobiani D, Rathbun P, Stein RF (1997) Solar convection: comparison of numerical simulations and mixing-length theory. Astrophys J 480:395–399 Abbett WP, Fisher GH, Fan Y (2000) The three-dimensional evolution of rising, twisted magnetic flux tubes in a gravitationally stratified model convection zone. Astrophys J 540:548–562. doi:10.1086/309316. arXiv:astro-ph/0004031 Acheson DJ (1979) Instability by magnetic buoyancy. Solar Phys 62:23–50. doi:10.1007/BF00150129 Aerts C, Christensen-Dalsgaard J, Kurtz DW (2010) Asteroseismology. Astronomy and astrophysics library. Springer, Berlin. doi:10.1007/978-1-4020-5803-5 Agüeros MA, Covey KR, Lemonias JJ, Law NM, Kraus A, Batalha N, Bloom JS, Cenko SB, Kasliwal MM, Kulkarni SR, Nugent PE, Ofek EO, Poznanski D, Quimby RM (2011) The factory and the beehive. I. Rotation periods for low-mass stars in praesepe. Astrophys J 740:110. doi:10.1088/0004-637X/740/2/110. arXiv:1107.4039 Aigrain S, Llama J, Ceillier T, Chagas MLd, Davenport JRA, García RA, Hay KL, Lanza AF, McQuillan A, Mazeh T, de Medeiros JR, Nielsen MB, Reinhold T (2015) Testing the recovery of stellar rotation signals from Kepler light curves using a blind hare-and-hounds exercise. Mon Not R Astron Soc 450:3211–3226. doi:10.1093/mnras/stv853. arXiv:1504.04029 Akgün T, Reisenegger A, Mastrano A, Marchant P (2013) Stability of magnetic fields in non-barotropic stars: an analytic treatment. Mon Not R Astron Soc 433:2445–2466. doi:10.1093/mnras/stt913. arXiv:1302.0273 Alecian E (2014) Magnetic fields along the pre-main-sequence phase. In: Mathys G, Griffin ER, Kochukhov O, Monier R, Wahlgren GM (eds) Putting A stars into context: evolution, environment, and related stars. Pero, Moscow, pp 84–92 arXiv:1310.1725 Allain S (1998) Modelling the angular momentum evolution of low-mass stars with core-envelope decoupling. Astron Astrophys 333:629–643 Allard F, Hauschildt PH, Schwenke D (2000) TiO and \(\text{ H }_{2}\text{ O }\) absorption lines in cool stellar atmospheres. Astrophys J 540:1005–1015. doi:10.1086/309366. arXiv:astro-ph/0008465 Alvan L, Brun AS, Mathis S (2014) Theoretical seismology in 3D: nonlinear simulations of internal gravity waves in solar-like stars. Astron Astrophys 565:A42. doi:10.1051/0004-6361/201323253. arXiv:1403.4052 Antia HM, Basu S (2005) The discrepancy between solar abundances and helioseismology. Astrophys J Lett 620:L129–L132. doi:10.1086/428652. arXiv:astro-ph/0501129 Antia HM, Basu S (2006) Determining solar abundances using helioseismology. Astrophys J 644:1292–1298. doi:10.1086/503707. arXiv:astro-ph/0603001 Archontis V, Moreno-Insertis F, Galsgaard K, Hood A, O’Shea E (2004) Emergence of magnetic flux from the convection zone into the corona. Astron Astrophys 426:1047–1063. doi:10.1051/0004-6361:20035934 Archontis V, Hood AW, Tsinganos K (2013) The emergence of weakly twisted magnetic fields in the Sun. Astrophys J 778:42. doi:10.1088/0004-637X/778/1/42 Arge CN, Pizzo VJ (2000) Improvement in the prediction of solar wind conditions using near-real time solar magnetic field updates. J Geophys Res 105:10,465–10,480. doi:10.1029/1999JA000262 Arlt R (2014) Generation and evolution of stable stellar magnetic fields in young A-type stars. In: Mathys G, Griffin ER, Kochukhov O, Monier R, Wahlgren GM (eds) Putting a stars into context: evolution, environment, and related stars. Pero, Moscow, pp 93–101 arXiv:1309.7126 Arlt R, Rüdiger G (2011) Amplification and stability of magnetic fields and dynamo effect in young A stars. Mon Not R Astron Soc 412:107–119. doi:10.1111/j.1365-2966.2010.17889.x. arXiv:1010.3899 Aschwanden MJ (2005) Physics of the solar corona: an introduction with problems and solutions. Springer-Praxis Books in Geophysical Sciences, 2nd edn. Springer Praxis, Berlin Asplund M, Grevesse N, Sauval AJ, Scott P (2009) The chemical composition of the Sun. Annu Rev Astron Astrophys 47:481–522. doi:10.1146/annurev.astro.46.060407.145222. arXiv:0909.0948 Augustson K, Brun AS, Miesch M, Toomre J (2015) Grand minima and equatorward propagation in a cycling stellar convective dynamo. Astrophys J 809:149. doi:10.1088/0004-637X/809/2/149. arXiv:1410.6547 Augustson KC, Brown BP, Brun AS, Miesch MS, Toomre J (2012) Convection and differential rotation in F-type stars. Astrophys J 756:169. doi:10.1088/0004-637X/756/2/169 Augustson KC, Brun AS, Toomre J (2016) The magnetic furnace: intense core dynamos in B stars. Astrophys J 829:92. doi:10.3847/0004-637X/829/2/92. arXiv:1603.03659 Aurière M, Wade GA, Silvester J, Lignières F, Bagnulo S, Bale K, Dintrans B, Donati JF, Folsom CP, Gruberbauer M, Hui Bon Hoa A, Jeffers S, Johnson N, Landstreet JD, Lèbre A, Lueftinger T, Marsden S, Mouillet D, Naseri S, Paletou F, Petit P, Power J, Rincon F, Strasser S, Toqué N (2007) Weak magnetic fields in Ap/Bp stars. Evidence for a dipole field lower limit and a tentative interpretation of the magnetic dichotomy. Astron Astrophys 475:1053–1065. doi:10.1051/0004-6361:20078189. arXiv:0710.1554 Aurnou JM, Calkins MA, Cheng JS, Julien K, King EM, Nieves D, Soderlund KM, Stellmach S (2015) Rotating convective turbulence in Earth and planetary cores. Phys Earth Planet Inter 246:52–71. doi:10.1016/j.pepi.2015.07.001 Babcock HW (1947) Zeeman effect in stellar spectra. Astrophys J 105:105. doi:10.1086/144887 Babcock HW (1960) The 34-kilogauss magnetic field of HD 215441. Astrophys J 132:521. doi:10.1086/146960 Babcock HW (1961) The topology of the Sun’s magnetic field and the 22-year cycle. Astrophys J 133:572. doi:10.1086/147060 Bagnulo S, Wade GA, Donati JF, Landstreet JD, Leone F, Monin DN, Stift MJ (2001) A study of polarized spectra of magnetic CP stars: predicted vs. observed Stokes IQUV profiles for \(\beta \) CrB and 53 Cam. Astron Astrophys 369:889–907. doi:10.1051/0004-6361:20010101 Bahcall JN, Basu S, Pinsonneault M, Serenelli AM (2005) Helioseismological implications of recent solar abundance determinations. Astrophys J 618:1049–1056. doi:10.1086/426070. arXiv:astro-ph/0407060 Bailey RL, Helling C, Hodosán G, Bilger C, Stark CR (2014) Ionization in atmospheres of brown dwarfs and extrasolar planets VI: properties of large-scale discharge events. Astrophys J 784:43. doi:10.1088/0004-637X/784/1/43. arXiv:1312.6789 Baldwin MP, Gray LJ, Dunkerton TJ, Hamilton K, Haynes PH, Randel WJ, Holton JR, Alexander MJ, Hirota I, Horinouchi T, Jones DBA, Kinnersley JS, Marquardt C, Sato K, Takahashi M (2001) The quasi-biennial oscillation. Rev Geophys 39:179–229. doi:10.1029/1999RG000073 Baliunas SL, Horne JH, Porter A, Duncan DK, Frazer J, Lanning H, Misch A, Mueller J, Noyes RW, Soyumer D, Vaughan AH, Woodard L (1985) Time-series measurements of chromospheric Ca ii H and K emission in cool stars and the search for differential rotation. Astrophys J 294:310–325. doi:10.1086/163299 Baliunas SL, Donahue RA, Soon WH, Horne JH, Frazer J, Woodard-Eklund L, Bradford M, Rao LM, Wilson OC, Zhang Q, Bennett W, Briggs J, Carroll SM, Duncan DK, Figueroa D, Lanning HH, Misch T, Mueller J, Noyes RW, Poppe D, Porter AC, Robinson CR, Russell J, Shelton JC, Soyumer T, Vaughan AH, Whitney JH (1995) Chromospheric variations in main-sequence stars. Astrophys J 438:269–287. doi:10.1086/175072 Baliunas SL, Nesme-Ribes E, Sokoloff D, Soon WH (1996) A dynamo interpretation of stellar activity cycles. Astrophys J 460:848. doi:10.1086/177014 Ballot J, Brun AS, Turck-Chièze S (2007) Simulations of turbulent convection in rotating young solarlike stars: differential rotation and meridional circulation. Astrophys J 669:1190–1208. doi:10.1086/521617. arXiv:0707.3943 Balona LA, Abedigamba OP (2016) Differential rotation in K, G, F and A stars. Mon Not R Astron Soc 461:497–506. doi:10.1093/mnras/stw1443. arXiv:1604.07003 Barker AJ, Dempsey AM, Lithwick Y (2014) Theory and simulations of rotating convection. Astrophys J 791:13. doi:10.1088/0004-637X/791/1/13. arXiv:1403.7207 Barnes JR, Collier Cameron A, Donati JF, James DJ, Marsden SC, Petit P (2005) The dependence of differential rotation on temperature and rotation. Mon Not R Astron Soc 357:L1–L5. doi:10.1111/j.1745-3933.2005.08587.x. arXiv:astro-ph/0410575 Barnes S, Sofia S, Pinsonneault M (2001) Disk locking and the presence of slow rotators among solar-type stars in young star clusters. Astrophys J 548:1071–1080. doi:10.1086/318988. arXiv:astro-ph/0101560 Barnes SA (2003) On the rotational evolution of solar- and late-type stars, its magnetic origins, and the possibility of stellar gyrochronology. Astrophys J 586:464–479. doi:10.1086/367639. arXiv:astro-ph/0303631 Barnes SA (2007) Ages for illustrative field stars using gyrochronology: viability, limitations, and errors. Astrophys J 669:1167–1189. doi:10.1086/519295. arXiv:0704.3068 Barnes SA (2010) A simple nonlinear model for the rotation of main-sequence cool stars. I. Introduction, implications for gyrochronology, and color-period diagrams. Astrophys J 722:222–234. doi:10.1088/0004-637X/722/1/222 Barnes SA, Kim YC (2010) Angular momentum loss from cool stars: an empirical expression and connection to stellar activity. Astrophys J 721:675. doi:10.1088/0004-637X/721/1/675. arXiv:1104.2350 Basri G, Walkowicz LM, Batalha N, Gilliland RL et al (2011) Photometric variability in Kepler target stars. II. An overview of amplitude, periodicity, and rotation in first quarter data. Astron J 141:20. doi:10.1088/0004-6256/141/1/20. arXiv:1008.1092 Bastien FA, Stassun KG, Basri G, Pepper J (2013) An observational correlation between stellar brightness variations and surface gravity. Nature 500:427–430. doi:10.1038/nature12419. arXiv:1308.4728 Bastien FA, Stassun KG, Basri G, Pepper J (2016) A granulation ”Flicker”-based measure of stellar surface gravity. Astrophys J 818:43. doi:10.3847/0004-637X/818/1/43. arXiv:1512.03454 Basu S, Grevesse N, Mathis S, Turck-Chièze S (2015) Understanding the internal chemical composition and physical processes of the solar interior. Space Sci Rev 196:49–77. doi:10.1007/s11214-014-0035-9 Bate MR, Tricco TS, Price DJ (2014) Collapse of a molecular cloud core to stellar densities: stellar-core and outflow formation in radiation magnetohydrodynamic simulations. Mon Not R Astron Soc 437:77–95. doi:10.1093/mnras/stt1865. arXiv:1310.1092 Beaudoin P, Charbonneau P, Racine E, Smolarkiewicz PK (2013) Torsional oscillations in a global solar dynamo. Solar Phys 282:335–360. doi:10.1007/s11207-012-0150-2. arXiv:1210.1209 Beck PG, Montalban J, Kallinger T, De Ridder J et al (2012) Fast core rotation in red-giant stars as revealed by gravity-dominated mixed modes. Nature 481:55–57. doi:10.1038/nature10612. arXiv:1112.2825 Beer J, Tobias S, Weiss N (1998) An active Sun throughout the Maunder minimum. Solar Phys 181:237–249 Behrend R, Maeder A (2001) Formation of massive stars by growing accretion rate. Astron Astrophys 373:190–198. doi:10.1051/0004-6361:20010585. arXiv:astro-ph/0105054 Benz AO, Guedel M (1994) X-ray/microwave ratio of flares and coronae. Astron Astrophys 285:621–630 Berdyugina SV (2005) Starspots: a key to the stellar dynamo. Living Rev Solar Phys 2:lrsp-2005-8. doi:10.12942/lrsp-2005-8. http://www.livingreviews.org/lrsp-2005-8 Berdyugina SV (2011) Polarimetry of cool atmospheres: from the Sun to Exoplanets. In: Kuhn JR, Harrington DM, Lin H, Berdyugina SV, Trujillo-Bueno J, Keil SL, Rimmele T (eds) Solar polarization 6, Astronomical Society of the Pacific, San Francisco, ASP conference series, vol 437, p 219. arXiv:1011.0751 Berdyugina SV, Usoskin IG (2003) Active longitudes in sunspot activity: century scale persistence. Astron Astrophys 405:1121–1128. doi:10.1051/0004-6361:20030748 Berdyugina SV, Moss D, Sokoloff D, Usoskin IG (2006) Active longitudes, nonaxisymmetric dynamos and phase mixing. Astron Astrophys 445:703–714. doi:10.1051/0004-6361:20053454 Berger E, Rutledge RE, Phan-Bao N, Basri G, Giampapa MS, Gizis JE, Liebert J, Martín E, Fleming TA (2009) Periodic radio and \(\text{ H }\alpha \) emission from the L Dwarf binary 2MASSW J0746425+200032: exploring the magnetic field topology and radius of an L Dwarf. Astrophys J 695:310–316. doi:10.1088/0004-637X/695/1/310. arXiv:0809.0001 Berger E, Basri G, Fleming TA, Giampapa MS, Gizis JE, Liebert J, Martín E, Phan-Bao N, Rutledge RE (2010) Simultaneous multi-wavelength observations of magnetic activity in ultracool dwarfs. III. X-ray, Radio, and H\(\alpha \) Activity Trends in M and L dwarfs. Astrophys J 709:332–341. doi:10.1088/0004-637X/709/1/332. arXiv:0909.4783 Berta ZK, Irwin J, Charbonneau D, Burke CJ, Falco EE (2012) Transit detection in the MEarth survey of nearby M dwarfs: bridging the clean-first, search-later divide. Astron J 144:145. doi:10.1088/0004-6256/144/5/145. arXiv:1206.4715 Bessolaz N, Brun AS (2011a) Hunting for giant cells in deep stellar convective zones using wavelet analysis. Astrophys J 728:115. doi:10.1088/0004-637X/728/2/115. arXiv:1101.1943 Bessolaz N, Brun AS (2011b) Towards a 3D dynamo model of the PMS star BP Tau. Astron Nachr 332:1045. doi:10.1002/asna.201111612 Biermann L (1932) Untersuchungen über den inneren Aufbau der Sterne. IV. Konvektionszonen im Innern der Sterne. (Veröffentlichungen der Universitäts-Sternwarte Göttingen, Nr. 27). Z Astrophys 5:117 Biermann L (1945) Neuere Fortschritte der Theorie des inneren Aufbaues und der Entwicklung der Sterne. Ergbn exakt Naturw 21:1–49 Birch AC, Braun DC, Fan Y (2010) An estimate of the detectability of rising flux tubes. Astrophys J Lett 723:L190–L194. doi:10.1088/2041-8205/723/2/L190 Blackman EG (2015) Magnetic helicity and large scale magnetic fields: a primer. Space Sci Rev 188:59–91. doi:10.1007/s11214-014-0038-6. arXiv:1402.0933 Blackman EG, Brandenburg A (2002) Dynamic nonlinearity in large-scale dynamos with shear. Astrophys J 579:359–373 Blackman EG, Hubbard A (2014) Ribbons characterize magnetohydrodynamic magnetic fields better than lines: a lesson from dynamo theory. Mon Not R Astron Soc 442:1040–1048. doi:10.1093/mnras/stu939. arXiv:1403.3445 Blackman EG, Owen JE (2016) Minimalist coupled evolution model for stellar X-ray activity, rotation, mass loss, and magnetic field. Mon Not R Astron Soc 458:1548–1558. doi:10.1093/mnras/stw369. arXiv:1511.05658 Blackman EG, Thomas JH (2015) Explaining the observed relation between stellar activity and rotation. Mon Not R Astron Soc 446:L51–L55. doi:10.1093/mnrasl/slu163. arXiv:1407.8500 Böhm-Vitense E (1958) Über die Wasserstoffkonvektionszone in Sternen verschiedener Effektivtemperaturen und Leuchtkräfte. Z Astrophys 46:108 Böhm-Vitense E (2007) Chromospheric activity in G and K main-sequence stars, and what it tells us about stellar dynamos. Astrophys J 657:486–493. doi:10.1086/510482 Boldyrev S, Cattaneo F (2004) Magnetic-field generation in kolmogorov turbulence. Phys Rev Lett 92:144501. doi:10.1103/PhysRevLett.92.144501. arXiv:astro-ph/0310780 Boro Saikia S, Jeffers SV, Morin J, Petit P, Folsom CP, Marsden SC, Donati JF, Cameron R, Hall JC, Perdelwitz V, Reiners A (2016) A solar-like magnetic cycle on the mature K-dwarf 61 Cygni A (HD 201091). Astron Astrophys 594:A29. doi:10.1051/0004-6361/201628262. arXiv:1606.01032 Borra EF, Landstreet JD (1980) The magnetic fields of the AP stars. Astrophys J Suppl 42:421–445. doi:10.1086/190656 Borucki WJ (2016) Kepler mission: development and overview. Rep Prog Phys 79:036901. doi:10.1088/0034-4885/79/3/036901 Bouvier J (2013) Observational studies of stellar rotation. In: Hennebelle P, Charbonnel C (eds) Role and Mechanisms of Angular Momentum Transport During the Formation and Early Evolution of Stars, EDP Sciences, EAS Publications Series, vol 62, pp 143–168. doi:10.1051/eas/1362005. arXiv:1307.2891 Bouvier J, Matt SP, Mohanty S, Scholz A, Stassun KG, Zanni C (2014) Angular momentum evolution of young low-mass stars and brown dwarfs: observations and theory. In: Beuther H, Klessen RS, Dullemond CP, Henning TK (eds) Protostars and planets VI, University of Arizona Press, Tucson, pp 433–450. doi:10.2458/azu_uapress_9780816531240-ch019. arXiv:1309.7851 Boyajian T, von Braun K, Feiden GA, Huber D, Basu S, Demarque P, Fischer DA, Schaefer G, Mann AW, White TR, Maestro V, Brewer J, Lamell CB, Spada F, López-Morales M, Ireland M, Farrington C, van Belle GT, Kane SR, Jones J, ten Brummelaar TA, Ciardi DR, McAlister HA, Ridgway S, Goldfinger PJ, Turner NH, Sturmann L (2015) Stellar diameters and temperatures - VI. High angular resolution measurements of the transiting exoplanet host stars HD 189733 and HD 209458 and implications for models of cool dwarfs. Mon Not R Astron Soc 447:846–857. doi:10.1093/mnras/stu2502. arXiv:1411.5638 Braithwaite J (2006) A differential rotation driven dynamo in a stably stratified star. Astron Astrophys 449:451–460. doi:10.1051/0004-6361:20054241. arXiv:astro-ph/0509693 Braithwaite J (2007) The stability of poloidal magnetic fields in rotating stars. Astron Astrophys 469:275–284 Braithwaite J (2009) Axisymmetric magnetic fields in stars: relative strengths of poloidal and toroidal components. Mon Not R Astron Soc 397:763–774. doi:10.1111/j.1365-2966.2008.14034.x. arXiv:0810.1049 Braithwaite J, Cantiello M (2013) Weak magnetic fields in early-type stars: failed fossils. Mon Not R Astron Soc 428:2789–2794. doi:10.1093/mnras/sts109. arXiv:1201.5646 Braithwaite J, Nordlund Å (2006) Stable magnetic fields in stellar interiors. Astron Astrophys 450:1077–1095 Braithwaite J, Spruit HC (2004) A fossil origin for the magnetic field in A stars and white dwarfs. Nature 431:819–821. doi:10.1038/nature02934. arXiv:astro-ph/0502043 Braithwaite J, Spruit HC (2006) Evolution of the magnetic field in magnetars. Astron Astrophys 450:1097–1106. doi:10.1051/0004-6361:20041981. arXiv:astro-ph/0510287 Braithwaite J, Spruit HC (2015) Magnetic fields in non-convective regions of stars. ArXiv e-prints arXiv:1510.03198 Brandenburg A (2001) The inverse cascade and nonlinear alpha-effect in simulations of isotropic helical hydromagnetic turbulence. Astrophys J 550:824–840. doi:10.1086/319783. arXiv:astro-ph/0006186 Brandenburg A (2005) The case for a distributed solar dynamo shaped by near-surface shear. Astrophys J 625:539–547. doi:10.1086/429584. arXiv:astro-ph/0502275 Brandenburg A (2008) The dual role of shear in large-scale dynamos. Astron Nachr 329:725. doi:10.1002/asna.200811027. arXiv:0808.0959 Brandenburg A, Subramanian K (2005) Astrophysical magnetic fields and nonlinear dynamo theory. Phys Rep 417:1–209. doi:10.1016/j.physrep.2005.06.005. arXiv:astro-ph/0405052 Brandenburg A, Jennings RL, Nordlund Å, Rieutord M, Stein RF, Tuominen I (1996) Magnetic structures in a dynamo simulation. J Fluid Mech 306:325–352. doi:10.1017/S0022112096001322 Braun DC, Lindsey C (2001) Seismic imaging of the far hemisphere of the Sun. Astrophys J Lett 560:L189–L192. doi:10.1086/324323 Brown BP (2009) Convection and dynamo action in rapidly rotating Suns. PhD thesis, University of Colorado at Boulder Brown BP, Browning MK, Brun AS, Miesch MS, Toomre J (2008) Rapidly rotating suns and active nests of convection. Astrophys J 689:1354–1372. doi:10.1086/592397. arXiv:0808.1716 Brown BP, Browning MK, Brun AS, Miesch MS, Toomre J (2010) Persistent magnetic wreaths in a rapidly rotating sun. Astrophys J 711:424–438. doi:10.1088/0004-637X/711/1/424 Brown BP, Miesch MS, Browning MK, Brun AS, Toomre J (2011) Magnetic cycles in a convective dynamo simulation of a young solar-type star. Astrophys J 731:69. doi:10.1088/0004-637X/731/1/69. arXiv:1102.1993 Brown BP, Vasil GM, Zweibel EG (2012) Energy conservation and gravity waves in sound-proof treatments of stellar interiors. Part I. Anelastic approximations. Astrophys J 756:109 Brown TM (2014) The metastable dynamo model of stellar rotational evolution. Astrophys J 789:101. doi:10.1088/0004-637X/789/2/101. arXiv:1403.4525 Brown TM, Gilliland RL (1994) Asteroseismology. Annu Rev Astron Astrophys 32:37–82. doi:10.1146/annurev.aa.32.090194.000345 Browning MK (2008) Simulations of dynamo action in fully convective stars. Astrophys J 676:1262–1280. doi:10.1086/527432. arXiv:0712.1603 Browning MK, Brun AS, Toomre J (2004) Simulations of core convection in rotating A-type stars: differential rotation and overshooting. Astrophys J 601:512–529. doi:10.1086/380198. arXiv:astro-ph/0310003 Browning MK, Miesch MS, Brun AS, Toomre J (2006) Dynamo action in the solar convection zone and tachocline: pumping and organization of toroidal fields. Astrophys J Lett 648:L157–L160. doi:10.1086/507869. arXiv:astro-ph/0609153 Browning MK, Brun AS, Miesch MS, Toomre J (2007) Dynamo action in simulations of penetrative solar convection with an imposed tachocline. Astron Nachr 328:1100. doi:10.1002/asna.200710849 Browning MK, Basri G, Marcy GW, West AA, Zhang J (2010) Rotation and magnetic activity in a sample of M-dwarfs. Astron J 139:504–518. doi:10.1088/0004-6256/139/2/504 Browning MK, Weber MA, Chabrier G, Massey AP (2016) Theoretical limits on magnetic field strengths in low-mass stars. Astrophys J 818:189. doi:10.3847/0004-637X/818/2/189. arXiv:1512.05692 Brummell NH, Clune TL, Toomre J (2002) Penetration and overshooting in turbulent compressible convection. Astrophys J 570:825–854. doi:10.1086/339626 Brun AS (2004) On the interaction between differential rotation and magnetic fields in the Sun. Solar Phys 220:333–345. doi:10.1023/B:SOLA.0000031384.75850.68 Brun AS, Miesch M (2008) Stellar convection simulations. Scholarpedia 3:4278. doi:10.4249/scholarpedia.4278 Brun AS, Rempel M (2009) Large scale flows in the solar convection zone. Space Sci Rev 144:151–173. doi:10.1007/s11214-008-9454-9 Brun AS, Toomre J (2002) Turbulent convection under the influence of rotation: sustaining a strong differential rotation. Astrophys J 570:865–885. doi:10.1086/339228. arXiv:astro-ph/0206196 Brun AS, Antia HM, Chitre SM, Zahn JP (2002) Seismic tests for solar models with tachocline mixing. Astron Astrophys 391:725–739. doi:10.1051/0004-6361:20020837. arXiv:astro-ph/0206180 Brun AS, Miesch MS, Toomre J (2004) Global-scale turbulent convection and magnetic dynamo action in the solar envelope. Astrophys J 614:1073–1098. doi:10.1086/423835 Brun AS, Browning MK, Toomre J (2005) Simulations of core convection in rotating A-type stars: magnetic dynamo action. Astrophys J 629:461–481. doi:10.1086/430430. arXiv:astro-ph/0610072 Brun AS, Miesch MS, Toomre J (2011) Modeling the dynamical coupling of solar convection with the radiative interior. Astrophys J 742:79. doi:10.1088/0004-637X/742/2/79 Brun AS, Browning MK, Dikpati M, Hotta H, Strugarek A (2015a) Recent advances on solar global magnetism and variability. Space Sci Rev 196:101–136. doi:10.1007/s11214-013-0028-0 Brun AS, García RA, Houdek G, Nandy D, Pinsonneault M (2015b) The solar-stellar connection. Space Sci Rev 196:303–356. doi:10.1007/s11214-014-0117-8. arXiv:1503.06742 Brun AS, Strugarek A, Varela J, Matt SP, Augustson KC, Emeriau C, DoCao OL, Brown B, Toomre J (2017) On differential rotation and overshooting in solar-like stars. Astrophys J 836:192. doi:10.3847/1538-4357/aa5c40. arXiv:1702.06598 Bruno R, Carbone V (2013) The solar wind as a turbulence laboratory. Living Rev Solar Phys 10:lrsp-2013-2. doi:10.12942/lrsp-2013-2. http://www.livingreviews.org/lrsp-2013-2 Bushby PJ (2006) Zonal flows and grand minima in a solar dynamo model. Mon Not R Astron Soc 371:772–780. doi:10.1111/j.1365-2966.2006.10706.x Busse FH (1970) Thermal instabilities in rapidly rotating systems. J Fluid Mech 44:441–460. doi:10.1017/S0022112070001921 Caldwell DA, Kolodziejczak JJ, Van Cleve JE, Jenkins JM, Gazis PR, Argabright VS, Bachtell EE, Dunham EW, Geary JC, Gilliland RL, Chandrasekaran H, Li J, Tenenbaum P, Wu H, Borucki WJ, Bryson ST, Dotson JL, Haas MR, Koch DG (2010) Instrument performance in Kepler’s first months. Astrophys J Lett 713:L92–L96. doi:10.1088/2041-8205/713/2/L92. arXiv:1001.0216 Cameron R, Schüssler M (2015) The crucial role of surface magnetic fields for the solar dynamo. Science 347:1333–1335. doi:10.1126/science.1261470. arXiv:1503.08469 Cantiello M, Langer N, Brott I, de Koter A, Shore SN, Vink JS, Voegler A, Lennon DJ, Yoon SC (2009) Sub-surface convection zones in hot massive stars and their observable consequences. Astron Astrophys 499:279–290. doi:10.1051/0004-6361/200911643. arXiv:0903.2049 Cantiello M, Mankovich C, Bildsten L, Christensen-Dalsgaard J, Paxton B (2014) Angular momentum transport within evolved low-mass stars. Astrophys J 788:93. doi:10.1088/0004-637X/788/1/93. arXiv:1405.1419 Canuto VM, Goldman I, Chasnov J (1988) Turbulent viscosity. Astron Astrophys 200:291–300 Cassinelli JP, Swank JH (1983) X-ray spectra of Orion OB supergiants. Astrophys J 271:681–690. doi:10.1086/161235 Castor JI, Abbott DC, Klein RI (1975) Radiation-driven winds in of stars. Astrophys J 195:157–174. doi:10.1086/153315 Cattaneo F (1999) On the origin of magnetic fields in the quiet photosphere. Astrophys J Lett 515:L39–L42. doi:10.1086/311962 Cattaneo F, Hughes DW (2006) Dynamo action in a rotating convective layer. J Fluid Mech 553:401–418. doi:10.1017/S0022112006009165 Cattaneo F, Hughes DW (2009) Problems with kinematic mean field electrodynamics at high magnetic Reynolds numbers. Mon Not R Astron Soc 395:L48–L51. doi:10.1111/j.1745-3933.2009.00639.x. arXiv:0805.2138 Cattaneo F, Tobias SM (2014) On large-scale dynamo action at high magnetic Reynolds number. Astrophys J 789:70. doi:10.1088/0004-637X/789/1/70. arXiv:1405.3071 Chabrier G (2003) Galactic stellar and substellar initial mass function. Publ Astron Soc Pac 115:763–795. doi:10.1086/376392 Chabrier G, Baraffe I (1997) Structure and evolution of low-mass stars. Astron Astrophys 327:1039–1053 arXiv:astro-ph/9704118 Chabrier G, Küker M (2006) Large-scale \({\alpha }^{2}\)-dynamo in low-mass stars and brown dwarfs. Astron Astrophys 446:1027–1037. doi:10.1051/0004-6361:20042475. arXiv:astro-ph/0510075 Chabrier G, Gallardo J, Baraffe I (2007) Evolution of low-mass star and brown dwarf eclipsing binaries. Astron Astrophys 472:L17–L20. doi:10.1051/0004-6361:20077702 Chandrasekhar S (1961) Hydrodynamic and hydromagnetic stability. International series of monographs on physics. Clarendon Press, Oxford Chaplin WJ, Miglio A (2013) Asteroseismology of solar-type and red-giant stars. Annu Rev Astron Astrophys 51:353–392. doi:10.1146/annurev-astro-082812-140938. arXiv:1303.1957 Chapman GA, McGuire TE (1977) The wavelength dependence of the facular excess brightness. Astrophys J 217:657–660. doi:10.1086/155611 Charbonneau P (2010) Dynamo models of the solar cycle. Living Rev Solar Phys 7:lrsp-2010-3. doi:10.12942/lrsp-2010-3. http://www.livingreviews.org/lrsp-2010-3 Charbonneau P, MacGregor KB (1997) Solar interface dynamos. II. Linear, kinematic models in spherical geometry. Astrophys J 486:502. doi:10.1086/304485 Charbonneau P, MacGregor KB (2001) Magnetic fields in massive stars. I. Dynamo models. Astrophys J 559:1094–1107. doi:10.1086/322417 Cheng JS, Stellmach S, Ribeiro A, Grannan A, King EM, Aurnou JM (2015) Laboratory-numerical models of rapidly rotating convection in planetary cores. Geophys J Int 201:1–17. doi:10.1093/gji/ggu480 Childress S, Gilbert AD (1995) Stretch, twist, fold: the fast dynamo. Lecture notes in physics, vol 37. Springer, Berlin, New York. doi:10.1007/978-3-540-44778-8 Choudhuri AR, Schüssler M, Dikpati M (1995) The solar dynamo with meridional circulation. Astron Astrophys 303:L29 Choudhuri AR, Chatterjee P, Jiang J (2007) Predicting solar cycle 24 with a solar dynamo model. Phys Rev Lett 98:131,103. doi:10.1103/PhysRevLett.98.131103. arXiv:astro-ph/0701527 Christensen UR, Aubert J (2006) Scaling properties of convection-driven dynamos in rotating spherical shells and application to planetary magnetic fields. Geophys J Int 166:97–114. doi:10.1111/j.1365-246X.2006.03009.x Christensen UR, Holzwarth V, Reiners A (2009) Energy flux determines magnetic field strength of planets and stars. Nature 457:167–169. doi:10.1038/nature07626 Clette F, Lefèvre L (2012) Are the sunspots really vanishing? Anomalies in solar cycle 23 and implications for long-term models and proxies. J Space Weather Space Clim 2:A06. doi:10.1051/swsc/2012007 Clette F, Svalgaard L, Vaquero JM, Cliver EW (2014) Revisiting the sunspot number. A 400-year perspective on the solar cycle. Space Sci Rev 186:35–103. doi:10.1007/s11214-014-0074-2. arXiv:1407.3231 Clune TL, Elliott JR, Glatzmaier GA, Miesch MS, Toomre J (1999) Computational aspects of a code to study rotating turbulent convection in spherical shells. Parallel Comput 25:361–380 Cohen O, Drake JJ (2014) A grid of MHD models for stellar mass loss and spin-down rates of solar analogs. Astrophys J 783:55. doi:10.1088/0004-637X/783/1/55. arXiv:1309.5953 Cohen O, Drake JJ, Kashyap VL, Gombosi TI (2009) The effect of magnetic spots on stellar winds and angular momentum loss. Astrophys J 699:1501 Collier Cameron A (2007) Differential rotation on rapidly rotating stars. Astron Nachr 328:1030. doi:10.1002/asna.200710880 Covas E, Moss D, Tavakol R (2005) Dynamo models and differential rotation in late-type rapidly rotating stars. Astron Astrophys 429:657–665. doi:10.1051/0004-6361:20041741. arXiv:astro-ph/0412342 Cowling TG (1933) The magnetic field of sunspots. Mon Not R Astron Soc 94:39–48 Cox JP, Giuli RT (1968) Principles of stellar structure. Gordon & Breach, New York Cram LE, Mullan DJ (1979) Model chromospheres of flare stars. I. Balmer-line profiles. Astrophys J 234:579. doi:10.1086/157532 Cranmer SR (2009) Coronal holes. Living Rev Solar Phys 6:3. doi:10.12942/lrsp-2009-3. http://www.livingreviews.org/lrsp-2009-3. arXiv:0909.2847 Cranmer SR, Saar SH (2011) Testing a predictive theoretical model for the mass loss rates of cool stars. Astrophys J 741:54. doi:10.1088/0004-637X/741/1/54. arXiv:1108.4369 Cranmer SR, van Ballegooijen AA, Edgar RJ (2007) Self-consistent coronal heating and solar wind acceleration from anisotropic magnetohydrodynamic turbulence. Astrophys J Suppl 171:520–551. doi:10.1086/518001. arXiv:astro-ph/0703333 Davenport JRA, Hebb L, Hawley SL (2015) Detecting differential rotation and starspot evolution on the M dwarf GJ 1243 with Kepler. Astrophys J 806:212. doi:10.1088/0004-637X/806/2/212. arXiv:1505.01524 Davidson PA (2013) Scaling laws for planetary dynamos. Geophys J Int 195:67–74. doi:10.1093/gji/ggt167. arXiv:1302.7140 Davies CR, Hughes DW (2011) The mean electromotive force resulting from magnetic buoyancy instability. Astrophys J 727:112. doi:10.1088/0004-637X/727/2/112. arXiv:1011.4462 Davies GR, Chaplin WJ, Farr WM, García RA, Lund MN, Mathis S, Metcalfe TS, Appourchaux T, Basu S, Benomar O, Campante TL, Ceillier T, Elsworth Y, Handberg R, Salabert D, Stello D (2015) Asteroseismic inference on rotation, gyrochronology and planetary system dynamics of 16 Cygni. Mon Not R Astron Soc 446:2959–2966. doi:10.1093/mnras/stu2331. arXiv:1411.1359 Deheuvels S, García RA, Chaplin WJ, Basu Se (2012) Seismic evidence for a rapidly rotating core in a lower-giant-branch star observed with Kepler. Astrophys J 756:19. doi:10.1088/0004-637X/756/1/19. arXiv:1206.3312 Delfosse X, Forveille T, Perrier C, Mayor M (1998) Rotation and chromospheric activity in field M dwarfs. Astron Astrophys 331:581–595 Denissenkov PA, Pinsonneault M, Terndrup DM, Newsham G (2010) Angular momentum transport in solar-type stars: testing the timescale for core-envelope coupling. Astrophys J 716:1269–1287. doi:10.1088/0004-637X/716/2/1269. arXiv:0911.1121 DeRosa ML, Brun AS, Hoeksema JT (2012) Solar magnetic field reversals and the role of dynamo families. Astrophys J 757:96. doi:10.1088/0004-637X/757/1/96. arXiv:1208.1768 Deupree RG (2000) Two-dimensional hydrodynamic simulations of zero-age main-sequence convective cores. Astrophys J 543:395–405. doi:10.1086/317068 Dikpati M (2011) Polar field puzzle: solutions from flux-transport dynamo and surface-transport models. Astrophys J 733:90. doi:10.1088/0004-637X/733/2/90. arXiv:1104.0269 Dikpati M, Charbonneau P (1999) A Babcock-Leighton flux transport dynamo with solar-like differential rotation. Astrophys J 518:508–520. doi:10.1086/307269 Dikpati M, de Toma G, Gilman PA, Arge CN, White OR (2004) Diagnostics of polar field reversal in solar cycle 23 using a flux transport dynamo model. Astrophys J 601:1136–1151. doi:10.1086/380508 Dikpati M, de Toma G, Gilman PA (2006) Predicting the strength of solar cycle 24 using a flux-transport dynamo-based tool. Geophys Res Lett 33:L05102. doi:10.1029/2005GL025221 Dikpati M, Anderson JL, Mitra D (2014) Ensemble Kalman filter data assimilation in a Babcock-Leighton solar dynamo model: an observation system simulation experiment for reconstructing meridional flow speed. Geophys Res Lett 41:5361–5369. doi:10.1002/2014GL061077. arXiv:1408.5113 Do Cao O, Brun AS (2011) Effects of turbulent pumping on stellar activity cycles. Astron Nachr 332:907. doi:10.1002/asna.201111623. arXiv:1112.1321 do Nascimento JD Jr, García RA, Mathur S, Anthony F, Barnes SA, Meibom S, da Costa JS, Castro M, Salabert D, Ceillier T, (2014) Rotation periods and ages of solar analogs and solar twins revealed by the Kepler mission. Astrophys J Lett 790:L23. doi:10.1088/2041-8205/790/2/L23. arXiv:1407.2289 Dobler W, Stix M, Brandenburg A (2006) Magnetic field generation in fully convective rotating spheres. Astrophys J 638:336–347. doi:10.1086/498634. arXiv:astro-ph/0410645 Domingo V, Ermolli I, Fox P, Fröhlich C, Haberreiter M, Krivova N, Kopp G, Schmutz W, Solanki SK, Spruit HC, Unruh Y, Vögler A (2009) Solar surface magnetism and irradiance on time scales from days to the 11-year cycle. Space Sci Rev 145:337–380. doi:10.1007/s11214-009-9562-1 Donahue RA, Saar SH, Baliunas SL (1996) A relationship between mean rotation period in lower main-sequence stars and its observed range. Astrophys J 466:384. doi:10.1086/177517 Donati J, Semel M, Carter BD, Rees DE, Collier Cameron A (1997) Spectropolarimetric observations of active stars. Mon Not R Astron Soc 291:658 Donati J, Forveille T, Cameron AC, Barnes JR, Delfosse X, Jardine MM, Valenti JA (2006a) The large-scale axisymmetric magnetic topology of a very-low-mass fully convective star. Science 311:633–635. doi:10.1126/science.1121102 Donati JF (2013) Magnetic fields of low-mass stars and protostars. Observations and results. In: Hennebelle P, Charbonnel C (eds) Role and Mechanisms of Angular Momentum Transport During the Formation and Early Evolution of Stars (Evry Schatzman School 2012), EDP Sciences, EAS Publications Series, vol 62, pp 289–305. doi:10.1051/eas/1362008 Donati JF, Landstreet JD (2009) Magnetic fields of nondegenerate stars. Annu Rev Astron Astrophys 47:333–370. doi:10.1146/annurev-astro-082708-101833. arXiv:0904.1938 Donati JF, Howarth ID, Jardine MM, Petit P, Catala C, Landstreet JD, Bouret JC, Alecian E, Barnes JR, Forveille T, Paletou F, Manset N (2006) The surprising magnetic topology of \(\tau \) Sco: fossil remnant or dynamo output? Mon Not R Astron Soc 370:629–644. doi:10.1111/j.1365-2966.2006.10558.x. arXiv:astro-ph/0606156 Donati JF, Morin J, Petit P, Delfosse X, Forveille T, Aurière M, Cabanac R, Dintrans B, Fares R, Gastine T, Jardine MM, Lignières F, Paletou F, Ramirez Velez JC, Théado S (2008) Large-scale magnetic topologies of early M dwarfs. Mon Not R Astron Soc 390:545–560. doi:10.1111/j.1365-2966.2008.13799.x. arXiv:0809.0269 Drake JJ, Cohen O, Yashiro S, Gopalswamy N (2013) Implications of mass and energy loss due to coronal mass ejections on magnetically active stars. Astrophys J 764:170. doi:10.1088/0004-637X/764/2/170. arXiv:1302.1136 Duarte LDV, Gastine T, Wicht J (2013) Anelastic dynamo models with variable electrical conductivity: an application to gas giants. Phys Earth Planet Inter 222:22–34. doi:10.1016/j.pepi.2013.06.010 Duarte LDV, Wicht J, Browning MK, Gastine T (2015) Helicity inversion in spherical convection as a means for equatorward dynamo wave propagation. ArXiv e-prints arXiv:1511.05813 Dudley ML, James RW (1989) Time-dependent kinematic dynamos with stationary flows. Proc R Soc Lond Ser A 425:407–429. doi:10.1098/rspa.1989.0112 Duez V, Mathis S (2010) Relaxed equilibrium configurations to model fossil fields. I. A first family. Astron Astrophys 517:58 Duez V, Braithwaite J, Mathis S (2010) On the stability of non-force-free magnetic equilibria in stars. Astrophys J Lett 724:L34–L38 Dumusque X, Boisse I, Santos NC (2014) SOAP 2.0: a tool to estimate the photometric and radial velocity variations induced by stellar spots and plages. Astrophys J 796:132. doi:10.1088/0004-637X/796/2/132. arXiv:1409.3594 Duncan DK, Vaughan AH, Wilson OC, Preston GW, Frazer J, Lanning H, Misch A, Mueller J, Soyumer D, Woodard L, Baliunas SL, Noyes RW, Hartmann LW, Porter A, Zwaan C, Middelkoop F, Rutten RGM, Mihalas D (1991) Ca ii H and K measurements made at Mount Wilson observatory, 1966–1983. Astrophys J Suppl 76:383 Duncan RC, Thompson C (1992) Formation of very strongly magnetized neutron stars: implications for gamma-ray bursts. Astrophys J Lett 392:L9–L13. doi:10.1086/186413 Durney BR (1995) On a Babcock-Leighton dynamo model with a deep-seated generating layer for the toroidal magnetic field. Solar Phys 160:213–235. doi:10.1007/BF00732805 Durney BR, Latour J (1978) On the angular momentum loss of late-type stars. Geophys Astrophys Fluid Dyn 9:241–255 Durney BR et al (1993) On the generation of the large-scale and turbulent magnetic fields in solar-type stars. Solar Phys 145:207–225 Ebrahimi F, Bhattacharjee A (2014) Helicity-flux-driven \(\alpha \) effect in laboratory and astrophysical plasmas. Phys Rev Lett 112:125003. doi:10.1103/PhysRevLett.112.125003. arXiv:1402.0750 Egeland R (2017) Long-term variability of the sun in the context of solar-analog stars. Phd thesis, Montana State University, Bozeman, Montana, USA Elliott JR, Miesch MS, Toomre J (2000) Turbulent solar convection and its coupling with rotation: the effect of Prandtl number and thermal boundary conditions on the resulting differential rotation. Astrophys J 533:546–556. doi:10.1086/308643 Emeriau-Viard C, Brun AS (2017) Origin and evolution of magnetic field in PMS stars: influence of rotation and structural changes. Astrophys J 846(1). doi:10.3847/1538-4357/aa7b33 Epstein CR, Pinsonneault MH (2014) How good a clock is rotation? The stellar rotation-mass-age relationship for old field stars. Astrophys J 780:159. doi:10.1088/0004-637X/780/2/159. arXiv:1203.1618 Ermolli I, Matthes K, Dudok de Wit T, Krivova NA, Tourpali K, Weber M, Unruh YC, Gray L, Langematz U, Pilewskie P, Rozanov E, Schmutz W, Shapiro A, Solanki SK, Thuillier G, Woods TN (2012) Recent variability of the solar spectral irradiance and its impact on climate modelling. Atmos Chem Phys Discuss 12:24,557–24,642. doi:10.5194/acpd-12-24557-2012 Espinosa Lara F, Rieutord M (2013) Self-consistent 2D models of fast-rotating early-type stars. Astron Astrophys 552:A35. doi:10.1051/0004-6361/201220844. arXiv:1212.0778 Fan Y (2009) Magnetic fields in the solar convection zone. Living Rev Solar Phys 6:lrsp-2009-4. doi:10.12942/lrsp-2009-4. http://www.livingreviews.org/lrsp-2009-4 Fan Y, Fang F (2014) A simulation of convective dynamo in the solar convective envelope: maintenance of the Solar-like differential rotation and emerging flux. Astrophys J 789:35. doi:10.1088/0004-637X/789/1/35. arXiv:1405.3926 Fan Y, Abbett WP, Fisher GH (2003) The dynamic evolution of twisted magnetic flux tubes in a three-dimensional convecting flow. I. Uniformly buoyant horizontal tubes. Astrophys J 582:1206–1219. doi:10.1086/344798 Fares R, Moutou C, Donati JF, Catala C, Shkolnik EL, Jardine MM, Cameron AC, Deleuil M (2013) A small survey of the magnetic fields of planet-host stars. Mon Not R Astron Soc 435:1451–1462. doi:10.1093/mnras/stt1386. arXiv:1307.6091 Favier B, Bushby PJ (2013) On the problem of large-scale magnetic field generation in rotating compressible convection. J Fluid Mech 723:529–555. doi:10.1017/jfm.2013.132. arXiv:1302.7243 Featherstone NA, Hindman BW (2016a) The spectral amplitude of stellar convection and its scaling in the high-Rayleigh-number regime. Astrophys J 818:32. doi:10.3847/0004-637X/818/1/32. arXiv:1511.02396 Featherstone NA, Hindman BW (2016b) The spectral amplitude of stellar convection and its scaling in the high-Rayleigh-number regime. Astrophys J 818:32. doi:10.3847/0004-637X/818/1/32. arXiv:1511.02396 Featherstone NA, Miesch MS (2015) Meridional circulation in solar and stellar convection zones. Astrophys J 804:67. doi:10.1088/0004-637X/804/1/67. arXiv:1501.06501 Featherstone NA, Browning MK, Brun AS, Toomre J (2009) Effects of fossil magnetic fields on convective core dynamos in A-type stars. Astrophys J 705:1000–1018. doi:10.1088/0004-637X/705/1/1000 Feiden GA, Chaboyer B (2012) Self-consistent magnetic stellar evolution models of the detached, solar-type eclipsing binary EF aquarii. Astrophys J 761:30. doi:10.1088/0004-637X/761/1/30. arXiv:1210.6177 Feiden GA, Chaboyer B (2013) Magnetic inhibition of convection and the fundamental properties of low-mass stars. I. Stars with a radiative core. Astrophys J 779:183. doi:10.1088/0004-637X/779/2/183. arXiv:1309.0033 Feiden GA, Chaboyer B (2014) Magnetic inhibition of convection and the fundamental properties of low-mass stars. II. Fully convective main-sequence stars. Astrophys J 789:53. doi:10.1088/0004-637X/789/1/53. arXiv:1405.1767 Feigelson ED, Montmerle T (1999) High-energy processes in young stellar objects. Annu Rev Astron Astrophys 37:363–408. doi:10.1146/annurev.astro.37.1.363 Flowers E, Ruderman MA (1977) Evolution of pulsar magnetic fields. Astrophys J 215:302–310. doi:10.1086/155359 Folsom CP, Petit P, Bouvier J, Lèbre A, Amard L, Palacios A, Morin J, Donati JF, Jeffers SV, Marsden SC, Vidotto AA (2016) The evolution of surface magnetic fields in young solar-type stars—I. The first 250 Myr. Mon Not R Astron Soc 457:580–607. doi:10.1093/mnras/stv2924. arXiv:1601.00684 Foukal P, Harvey K, Hill F (1991) Do changes in the photospheric magnetic network cause the 11 year variation of total solar irradiance? Astrophys J Lett 383:L89–L92. doi:10.1086/186249 Freytag B, Ludwig HG, Steffen M (1996) Hydrodynamical models of stellar convection. The role of overshoot in DA white dwarfs, A-type stars, and the Sun. Astron Astrophys 313:497–516 Fröhlich C (2012) Total solar irradiance observations. Surv Geophys 33:453–473. doi:10.1007/s10712-011-9168-5 Fuller J, Lecoanet D, Cantiello M, Brown B (2014) Angular momentum transport via internal gravity waves in evolving stars. Astrophys J 796:17. doi:10.1088/0004-637X/796/1/17. arXiv:1409.6835 Fuller J, Cantiello M, Lecoanet D, Quataert E (2015) The spin rate of pre-collapse stellar cores: wave-driven angular momentum transport in massive stars. Astrophys J 810:101. doi:10.1088/0004-637X/810/2/101. arXiv:1502.07779 Gaidos EJ, Henry GW, Henry SM (2000) Spectroscopy and photometry of nearby young solar analogs. Astron J 120:1006–1013. doi:10.1086/301488 Gallet F, Bouvier J (2013) Improved angular momentum evolution model for solar-like stars. Astron Astrophys 556:A36. doi:10.1051/0004-6361/201321302. arXiv:1306.2130 García RA, Mathur S, Salabert D, Ballot J, Régulo C, Metcalfe TS, Baglin A (2010) CoRoT reveals a magnetic activity cycle in a Sun-like star. Science 329:1032. doi:10.1126/science.1191064. arXiv:1008.4399 García RA, Ceillier T, Salabert D, Mathur S, van Saders JL, Pinsonneault M, Ballot J, Beck PG, Bloemen S, Campante TL, Davies GR, do Nascimento JD Jr, Mathis S, Metcalfe TS, Nielsen MB, Suárez JC, Chaplin WJ, Jiménez A, Karoff C (2014) Rotation and magnetism of Kepler pulsating solar-like stars. Towards asteroseismically calibrated age-rotation relations. Astron Astrophys 572:A34. doi:10.1051/0004-6361/201423888. arXiv:1403.7155 García López RJ, Spruit HC (1991) Li depletion in F stars by internal gravity waves. Astrophys J 377:268–277. doi:10.1086/170356 Garraffo C, Drake JJ, Cohen O (2015a) Magnetic complexity as an explanation for bimodal rotation populations among young stars. Astrophys J Lett 807:L6. doi:10.1088/2041-8205/807/1/L6. arXiv:1506.01713 Garraffo C, Drake JJ, Cohen O (2015b) The dependence of stellar mass and angular momentum losses on latitude and the interaction of active region and dipolar magnetic fields. Astrophys J 813:40. doi:10.1088/0004-637X/813/1/40. arXiv:1509.08936 Gastine T, Wicht J (2012) Effects of compressibility on driving zonal flow in gas giants. Icarus 219:428–442. doi:10.1016/j.icarus.2012.03.018. arXiv:1203.4145 Gastine T, Duarte L, Wicht J (2012) Dipolar versus multipolar dynamos: the influence of the background density stratification. Astron Astrophys 546:A19. doi:10.1051/0004-6361/201219799. arXiv:1208.6093 Gastine T, Morin J, Duarte L, Reiners A, Christensen UR, Wicht J (2013a) What controls the magnetic geometry of M dwarfs? Astron Astrophys 549:L5. doi:10.1051/0004-6361/201220317. arXiv:1212.0136 Gastine T, Wicht J, Aurnou JM (2013) Zonal flow regimes in rotating anelastic spherical shells: an application to giant planets. Icarus 225:156–172. doi:10.1016/j.icarus.2013.02.031. arXiv:1211.3246 Gastine T, Yadav RK, Morin J, Reiners A, Wicht J (2014) From solar-like to antisolar differential rotation in cool stars. Mon Not R Astron Soc 438:L76–L80. doi:10.1093/mnrasl/slt162. arXiv:1311.3047 Gaurat M, Jouve L, Lignières F, Gastine T (2015) Evolution of a magnetic field in a differentially rotating radiative zone. Astron Astrophys 580:A103. doi:10.1051/0004-6361/201526125. arXiv:1507.01508 Gayley KG, Owocki SP, Cranmer SR (1997) Sudden radiative braking in colliding hot-star winds. Astrophys J 475:786–797 Geiss J, Bochsler P (1991) Long time variations in solar wind properties—possible causes versus observations. In: Sonett CP, Giampapa MS, Matthews MS (eds) The Sun in time. University of Arizona Press, Tucson, pp 98–117 Gellert M, Rüdiger G, Elstner D (2008) Helicity generation and \(\alpha \)-effect by Tayler instability with z-dependent differential rotation. Astron Astrophys 479:L33–L36. doi:10.1051/0004-6361:20077781. arXiv:0705.0448 Ghizaru M, Charbonneau P, Smolarkiewicz PK (2010) Magnetic cycles in global large-eddy simulations of solar convection. Astrophys J Lett 715:L133–L137. doi:10.1088/2041-8205/715/2/L133 Giampapa MS, Hall JC, Radick RR, Baliunas SL (2006) A survey of chromospheric activity in the solar-type stars in the open cluster M67. Astrophys J 651:444–461. doi:10.1086/507624. arXiv:astro-ph/0607313 Gilet C, Almgren AS, Bell JB, Nonaka A, Woosley SE, Zingale M (2013) Low Mach number modeling of core convection in massive stars. Astrophys J 773:137. doi:10.1088/0004-637X/773/2/137 Gilman PA (1975) Linear simulations of Boussinesq convection in a deep rotating spherical shell. J Atmos Sci 32:1331–1352. doi:10.1175/1520-0469(1975)032<1331:LSOBCI>2.0.CO;2 Gilman PA (1977) Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell. I. Geophys Astrophys Fluid Dyn 8:93–135. doi:10.1080/03091927708240373 Gilman PA (1983) Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell. II. Dynamos with cycles and strong feedbacks. Astrophys J Suppl 53:243–268. doi:10.1086/190891 Gilman PA, Glatzmaier GA (1981) Compressible convection in a rotating spherical shell. I. Anelastic equations. II. A linear anelastic model. III. Analytic model for compressible vorticity waves. Astrophys J Suppl 45:335 Gilman PA, Miller J (1981) Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell. Astrophys J Suppl 46:211–238. doi:10.1086/190743 Gizis J, Monet D, Reid I, Kirkpatrick J, Liebert J, Williams R (2000) New neighbors from 2mass: activity and kinematics at the bottom of the main sequence. AJ 120:1085 Gizon L, Birch AC (2005) Local helioseismology. Living Rev Solar Phys 2:lrsp-2005-6. doi:10.12942/lrsp-2005-6. http://www.livingreviews.org/lrsp-2005-6 Gizon L, Birch AC, Spruit HC (2010) Local helioseismology: three-dimensional imaging of the solar interior. Annu Rev Astron Astrophys 48:289–338. doi:10.1146/annurev-astro-082708-101722. arXiv:1001.0930 Glatzmaier GA (1984) Numerical simulations of stellar convective dynamos. I. The model and method. J Comput Phys 55:461–484. doi:10.1016/0021-9991(84)90033-0 Glatzmaier GA (1985) Numerical simulations of stellar convective dynamos. II. Field propagation in the convection zone. Astrophys J 291:300–307. doi:10.1086/163069 Glatzmaier GA (2013) Introduction to modelling convection in planets and stars. Princeton University Press, Princeton Glatzmaier GA, Gilman PA (1982) Compressible convection in a rotating spherical shell. V. Induced differential rotation and meridional circulation. Astrophys J 256:316–330. doi:10.1086/159909 Goldreich P, Nicholson PD (1989) Tidal friction in early-type stars. Astrophys J 342:1079–1084. doi:10.1086/167665 Goldreich P, Murray N, Kumar P (1994) Excitation of solar p-modes. Astrophys J 424:466–479. doi:10.1086/173904 Golub L, Rosner R, Vaiana GS, Weiss NO (1981) Solar magnetic fields–the generation of emerging flux. Astrophys J 243:309–316. doi:10.1086/158599 Gondoin P (2012) Dynamo regime transition among Sun-like stars in M 34. A time evolution model of X-ray activity on the main sequence. Astron Astrophys 546:A117. doi:10.1051/0004-6361/201219823 González Hernández I, Lindsey C, Braun DC, Bogart RS, Scherrer PH, Hill F (2013) Far-side helioseismic maps: the next generation. J Phys Conf Ser 440:012029. doi:10.1088/1742-6596/440/1/012029 Gottlieb D, Orszag S (1977) Numerical analysis of spectral methods: theory and applications. CBMS-NSF regional conference series in applied mathematics, SIAM Goudard L, Dormy E (2008) Relations between the dynamo region geometry and the magnetic behavior of stars and planets. Europhys Lett 83:59,001. doi:10.1209/0295-5075/83/59001. arXiv:0901.0828 Gough DO (1969) The anelastic approximation for thermal convection. J Atmos Sci 26:448–456. doi:10.1175/1520-0469(1969)026<0448:TAAFTC>2.0.CO;2 Gough DO, Weiss NO (1976) The calibration of stellar convection theories. Mon Not R Astron Soc 176:589–607. doi:10.1093/mnras/176.3.589 Gregory SG, Donati JF, Morin J, Hussain GAJ, Mayne NJ, Hillenbrand LA, Jardine M (2012) Can we predict the global magnetic topology of a pre-main-sequence star from its position in the Hertzsprung-Russell diagram? Astrophys J 755:97. doi:10.1088/0004-637X/755/2/97. arXiv:1206.5238 Grießmeier JM, Preusse S, Khodachenko M, Motschmann U, Mann G, Rucker HO (2007) Exoplanetary radio emission under different stellar wind conditions. Planet Space Sci 55:618–630. doi:10.1016/j.pss.2006.01.008 Grote E, Busse FH (2001) Dynamics of convection and dynamos in rotating spherical fluid shells. Fluid Dyn Res 28:349–368. doi:10.1016/S0169-5983(01)00004-1 Güdel M (2002) Stellar radio astronomy: probing stellar atmospheres from protostars to giants. Annu Rev Astron Astrophys 40:217–261. doi:10.1146/annurev.astro.40.060401.093806. arXiv:astro-ph/0206436 Güdel M (2004) X-ray astronomy of stellar coronae. Astron Astrophys Rev 12:71–237. doi:10.1007/s00159-004-0023-2. arXiv:astro-ph/0406661 Güdel M (2007) The Sun in time: activity and environment. Living Rev Solar Phys 4:lrsp-2007-3. doi:10.12942/lrsp-2007-3. arXiv:0712.1763 Guedel M, Benz AO (1993) X-ray/microwave relation of different types of active stars. Astrophys J Lett 405:L63–L66. doi:10.1086/186766 Guerrero G, de Gouveia Dal Pino EM (2008) Turbulent magnetic pumping in a Babcock-Leighton solar dynamo model. Astron Astrophys 485:267–273. doi:10.1051/0004-6361:200809351. arXiv:0803.3466 Guerrero G, Smolarkiewicz PK, Kosovichev AG, Mansour NN (2013) Differential rotation in solar-like stars from global simulations. Astrophys J 779:176. doi:10.1088/0004-637X/779/2/176. arXiv:1310.8178 Guerrero G, Smolarkiewicz PK, de Gouveia Dal Pino EM, Kosovichev AG, Mansour NN (2016) On the role of tachoclines in solar and stellar dynamos. Astrophys J 819:104. doi:10.3847/0004-637X/819/2/104. arXiv:1507.04434 Haber DA, Hindman BW, Toomre J, Bogart RS, Larsen RM, Hill F (2002) Evolving submerged meridional circulation cells within the upper convection zone revealed by ring-diagram analysis. Astrophys J 570:855–864. doi:10.1086/339631 Hale GE (1908) On the probable existence of a magnetic field in Sun-spots. Astrophys J 28:315. doi:10.1086/141602 Hall DS (1991) Learning about stellar dynamos from long-term photometry of starspots. In: Tuominen I, Moss D, Rüdiger G (eds) IAU Colloq. 130: The Sun and Cool Stars. Activity, Magnetism, Dynamos, Springer, Berlin, Lecture Notes in Physics, vol 380, p 353. doi:10.1007/3-540-53955-7_156 Hall JC (2008) Stellar chromospheric activity. Living Rev Solar Phys 5:lrsp-2008-2. doi:10.12942/lrsp-2008-2. http://www.livingreviews.org/lrsp-2008-2 Hall JC, Lockwood GW, Skiff BA (2007) The activity and variability of the Sun and Sun-like stars. I. Synoptic Ca II H and K observations. Astron J 133:862–881. doi:10.1086/510356 Hall JC, Henry GW, Lockwood GW, Skiff BA, Saar SH (2009) The activity and variability of the Sun and Sun-like stars. II. Contemporaneous photometry and spectroscopy of bright solar analogs. Astron J 138:312–322. doi:10.1088/0004-6256/138/1/312 Hallinan G, Antonova A, Doyle JG, Bourke S, Brisken WF, Golden A (2006) Rotational modulation of the radio emission from the M9 Dwarf TVLM 513–46546: broadband coherent emission at the substellar boundary? Astrophys J 653:690–699. doi:10.1086/508678. arXiv:astro-ph/0608556 Hallinan G, Antonova A, Doyle JG, Bourke S, Lane C, Golden A (2008) Confirmation of the electron cyclotron maser instability as the dominant source of radio emission from very low mass stars and brown dwarfs. Astrophys J 684:644–653. doi:10.1086/590360. arXiv:0805.4010 Hansen CJ, Kawaler SD (1994) Stellar interiors. Physical principles, structure, and evolution. Springer, Berlin. doi:10.1007/978-1-4684-0214-8 Haswell CA (2010) Transiting exoplanets. Cambridge University Press, Cambridge Hathaway DH (2012) Supergranules as probes of the Sun’s meridional circulation. Astrophys J 760:84. doi:10.1088/0004-637X/760/1/84. arXiv:1210.3343 Hathaway DH (2015) The solar cycle. Living Rev Solar Phys 12:lrsp-2015-4. doi:10.1007/lrsp-2015-4. http://www.livingreviews.org/lrsp-2015-4. arXiv:1502.07020 Hazra G, Karak BB, Choudhuri AR (2014) Is a deep one-cell meridional circulation essential for the flux transport solar dynamo? Astrophys J 782:93. doi:10.1088/0004-637X/782/2/93. arXiv:1309.2838 Helling C, Casewell S (2014) Atmospheres of brown dwarfs. Astron Astrophys Rev 22:80. doi:10.1007/s00159-014-0080-0. arXiv:1410.6029 Helling C, Jardine M, Mokler F (2011a) Ionization in atmospheres of brown dwarfs and extrasolar planets. II. Dust-induced collisional ionization. Astrophys J 737:38. doi:10.1088/0004-637X/737/1/38. arXiv:1105.4409 Helling C, Jardine M, Witte S, Diver DA (2011b) Ionization in atmospheres of brown dwarfs and extrasolar planets. I. The role of electron avalanche. Astrophys J 727:4. doi:10.1088/0004-637X/727/1/4. arXiv:1010.4389 Helling C, Jardine M, Stark C, Diver D (2013) Ionization in atmospheres of brown dwarfs and extrasolar planets. III. Breakdown conditions for mineral clouds. Astrophys J 767:136. doi:10.1088/0004-637X/767/2/136. arXiv:1301.7586 Hempelmann A, Schmitt JHMM, Schultz M, Ruediger G, Stepien K (1995) Coronal X-ray emission and rotation of cool main-sequence stars. Astron Astrophys 294:515–524 Hempelmann A, Schmitt JHMM, Stȩpień K (1996) Coronal X-ray emission of cool stars in relation to chromospheric activity and magnetic cycles. Astron Astrophys 305:284 Henry GW, Eaton JA, Hamer J, Hall DS (1995) Starspot evolution, differential rotation, and magnetic cycles in the chromospherically active binaries \(\lambda \) Andromedae, \(\sigma \) Geminorum, II Pegasi, and V711 Tauri. Astrophys J Suppl 97:513. doi:10.1086/192149 Herbst W, Eislöffel J, Mundt R, Scholz A (2007) The rotation of young low-mass stars and brown dwarfs. In: Reipurth B, Jewitt D, Keil K (eds) Protostars and planets V. University of Arizona Press, Tucson, pp 297–311. arXiv:astro-ph/0603673 Hewitt JM, McKenzie DP, Weiss NO (1975) Dissipative heating in convective flows. J Fluid Mech 68:721–738. doi:10.1017/S002211207500119X Hood AW, Archontis V, Galsgaard K, Moreno-Insertis F (2009) The emergence of toroidal flux tubes from beneath the solar photosphere. Astron Astrophys 503:999–1011. doi:10.1051/0004-6361/200912189 Hopkins PF (2015) A new class of accurate, mesh-free hydrodynamic simulation methods. Mon Not R Astron Soc 450:53–110. doi:10.1093/mnras/stv195. arXiv:1409.7395 Hotta H, Rempel M, Yokoyama T (2015) High-resolution calculation of the solar global convection with the reduced speed of sound technique. II. Near surface shear layer with the rotation. Astrophys J 798:51. doi:10.1088/0004-637X/798/1/51. arXiv:1410.7093 Hotta H, Rempel M, Yokoyama T (2016) Large-scale magnetic fields at high Reynolds numbers in magnetohydrodynamic simulations. Science 351:1427–1430. doi:10.1126/science.aad1893 Howard RA, Sheeley NR Jr, Michels DJ, Koomen MJ (1985) Coronal mass ejections—1979–1981. J Geophys Res 90:8173–8191. doi:10.1029/JA090iA09p08173 Hoyt DV, Schatten KH (1998) Group sunspot numbers: a new solar activity reconstruction. Solar Phys 181:491–512. doi:10.1023/A:1005056326158 Hubbard A, Brandenburg A (2012) Catastrophic quenching in \(\alpha \varOmega \) dynamos revisited. Astrophys J 748:51. doi:10.1088/0004-637X/748/1/51. arXiv:1107.0238 Huber D, Ireland MJ, Bedding TR, Brandão IM et al (2012) Fundamental properties of stars using asteroseismology from Kepler and CoRoT and interferometry from the CHARA array. Astrophys J 760:32. doi:10.1088/0004-637X/760/1/32. arXiv:1210.0012 Huber D, Chaplin WJ, Christensen-Dalsgaard J, Gilliland RL, Kjeldsen H, Buchhave LA, Fischer DA, Lissauer JJ, Rowe JF, Sanchis-Ojeda R, Basu S, Handberg R, Hekker S, Howard AW, Isaacson H, Karoff C, Latham DW, Lund MN, Lundkvist M, Marcy GW, Miglio A, Silva Aguirre V, Stello D, Arentoft T, Barclay T, Bedding TR, Burke CJ, Christiansen JL, Elsworth YP, Haas MR, Kawaler SD, Metcalfe TS, Mullally F, Thompson SE (2013) Fundamental properties of Kepler planet-candidate host stars using asteroseismology. Astrophys J 767:127. doi:10.1088/0004-637X/767/2/127. arXiv:1302.2624 Hughes DW, Proctor MRE (1988) Magnetic fields in the solar convection zone–magnetoconvection and magnetic buoyancy. Annu Rev Fluid Mech 20:187–223. doi:10.1146/annurev.fl.20.010188.001155 Hughes DW, Proctor MRE (2009) Large-scale dynamo action driven by velocity shear and rotating convection. Phys Rev Lett 102:44,501 Hughes DW, Proctor MRE, Cattaneo F (2011) The \(\alpha \)-effect in rotating convection: a comparison of numerical simulations. Mon Not R Astron Soc 414:L45–L49. doi:10.1111/j.1745-3933.2011.01053.x. arXiv:1103.0754 Hung CP, Jouve L, Brun AS, Fournier A, Talagrand O (2015) Estimating the deep solar meridional circulation using magnetic observations and a dynamo model: a variational approach. Astrophys J 814:151. doi:10.1088/0004-637X/814/2/151 Hussain GAJ, Alecian E (2014) The role of magnetic fields in pre-main sequence stars. In: Petit P, Jardine M, Spruit HC (eds) Magnetic fields throughout stellar evolution. IAU symposium, vol 302. Cambridge University Press, pp 25–37. doi:10.1017/S1743921314001653. arXiv:1402.7130 Hussaini MY, Zang TA (1987) Spectral methods in fluid dynamics. Annu Rev Fluid Mech 19:339–367. doi:10.1146/annurev.fl.19.010187.002011 Ibáñez-Mejía JC, Braithwaite J (2015) Stability of toroidal magnetic fields in stellar interiors. Astron Astrophys 578:A5. doi:10.1051/0004-6361/201424469. arXiv:1503.04450 Ilonidis S, Zhao J, Kosovichev A (2011) Detection of emerging sunspot regions in the solar interior. Science 333:993. doi:10.1126/science.1206253 Irwin J, Bouvier J (2009) The rotational evolution of low-mass stars. In: Mamajek EE, Soderblom DR, Wyse RFG (ed) The Ages of Stars, IAU symposium, vol 258, pp 363–374. doi:10.1017/S1743921309032025 Irwin J, Berta ZK, Burke CJ, Charbonneau D, Nutzman P, West AA, Falco EE (2011) On the angular momentum evolution of fully convective stars: rotation Periods for Field M-dwarfs from the MEarth Transit Survey. Astrophys J 727:56. doi:10.1088/0004-637X/727/1/56. arXiv:1011.4909 Işık E, Schmitt D, Schüssler M (2011) Magnetic flux generation and transport in cool stars. Astron Astrophys 528:A135. doi:10.1051/0004-6361/201014501. arXiv:1102.0569 Iskakov AB, Schekochihin AA, Cowley SC, McWilliams JC, Proctor MRE (2007) Numerical demonstration of fluctuation dynamo at low magnetic Prandtl numbers. Phys Rev Lett 98:208501. doi:10.1103/PhysRevLett.98.208501. arXiv:astro-ph/0702291 Isobe H, Miyagoshi T, Shibata K, Yokoyama T (2006) Three-dimensional simulation of solar emerging flux using the earth simulator I. Magnetic Rayleigh-Taylor instability at the top of the emerging flux as the origin of filamentary structure. Publ Astron Soc Jpn 58:423–438. doi:10.1093/pasj/58.2.423 Jardine M, Donati J, Arzoumanian D, de Vidotto A (2010) Modelling stellar coronal magnetic fields. In: Prasad Choudhary D, Strassmeier KG (eds) Physics of Sun and Star spots. IAU symposium, vol 273. Cambridge University Press, Cambridge, pp 242–248. doi:10.1017/S1743921311015316. arXiv:1008.4885 Johns-Krull CM, Valenti JA (1996) Detection of strong magnetic fields on M dwarfs. Astrophys J Lett 459:L95. doi:10.1086/309954 Johns-Krull CM, Valenti JA (2000) Measurements of stellar magnetic fields. In: Pallavicini R, Micela G, Sciortino S (eds) Stellar clusters and associations: convection, rotation, and dynamos, Astronomical Society of the Pacific, San Francisco, ASP conference series, vol 198, p 371 Johnson JA, Huber D, Boyajian T, Brewer JM, White TR, von Braun K, Maestro V, Stello D, Barclay T (2014) The physical parameters of the retired a star HD 185351. Astrophys J 794:15. doi:10.1088/0004-637X/794/1/15. arXiv:1407.2329 Johnstone CP, Güdel M, Brott I, Lüftinger T (2015) Stellar winds on the main-sequence. II. The evolution of rotation and winds. Astron Astrophys 577:A28. doi:10.1051/0004-6361/201425301. arXiv:1503.07494 Jones CA (2008) Dynamo theory. In: Cardin P, Cugliandolo LF (eds) Dynamos: Les Houches summer school 2007, vol 88. Elsevier, Amsterdam, Les Houches, pp 45–135. doi:10.1016/S0924-8099(08)80006-6 Jones CA, Kuzanyan KM (2009) Compressible convection in the deep atmospheres of giant planets. Icarus 204:227–238. doi:10.1016/j.icarus.2009.05.022 Jones CA, Boronski P, Brun AS, Glatzmaier GA, Gastine T, Miesch MS, Wicht J (2011) Anelastic convection-driven dynamo benchmarks. Icarus 216:120–135. doi:10.1016/j.icarus.2011.08.014 Jouve L, Brun AS (2007a) 3-D non-linear evolution of a magnetic flux tube in a spherical shell: The isentropic case. Astron Nachr 328:1104. doi:10.1002/asna.200710887. arXiv:0712.3408 Jouve L, Brun AS (2007b) On the role of meridional flows in flux transport dynamo models. Astron Astrophys 474:239–250. doi:10.1051/0004-6361:20077070. arXiv:0712.3200 Jouve L, Brun AS (2009) Three-dimensional nonlinear evolution of a magnetic flux tube in a spherical shell: influence of turbulent convection and associated mean flows. Astrophys J 701:1300–1322. doi:10.1088/0004-637X/701/2/1300. arXiv:0907.2131 Jouve L, Brown BP, Brun AS (2010) Exploring the \(P_{cyc}\) vs. \(P_{rot}\) relation with flux transport dynamo models of solar-like stars. Astron Astrophys 509:A32. doi:10.1051/0004-6361/200913103. arXiv:0911.1947 Jouve L, Brun AS, Aulanier G (2013) Global dynamics of subsurface solar active regions. Astrophys J 762:4. doi:10.1088/0004-637X/762/1/4. arXiv:1211.7251 Jouve L, Gastine T, Lignières F (2015) Three-dimensional evolution of magnetic fields in a differentially rotating stellar radiative zone. Astron Astrophys 575:A106. doi:10.1051/0004-6361/201425240. arXiv:1412.2900 Julien K, Rubio AM, Grooms I, Knobloch E (2012) Statistical and physical balances in low Rossby number Rayleigh-Bénard convection. Geophys Astrophys Fluid Dyn 106:392–428. doi:10.1080/03091929.2012.696109 Kageyama A, Sato T (2004) “Yin-Yang grid”: an overset grid in spherical geometry. Geochem Geophys Geosyst 5:Q09005. doi:10.1029/2004GC000734. arXiv:physics/0403123 Kao MM, Hallinan G, Pineda JS, Escala I, Burgasser A, Bourke S, Stevenson D (2015) Auroral radio emission from late L and T dwarfs: A new constraint on dynamo theory in the substellar regime. ArXiv e-prints arXiv:1511.03661 Käpylä PJ, Mantere MJ, Guerrero G, Brandenburg A, Chatterjee P (2011) Reynolds stress and heat flux in spherical shell convection. Astron Astrophys 531:A162. doi:10.1051/0004-6361/201015884. arXiv:1010.1250 Käpylä PJ, Mantere MJ, Brandenburg A (2012) Cyclic magnetic activity due to turbulent convection in spherical wedge geometry. Astrophys J Lett 755:L22. doi:10.1088/2041-8205/755/1/L22. arXiv:1205.4719 Käpylä PJ, Mantere MJ, Cole E, Warnecke J, Brandenburg A (2013) Effects of enhanced stratification on equatorward dynamo wave propagation. Astrophys J 778:41. doi:10.1088/0004-637X/778/1/41. arXiv:1301.2595 Käpylä PJ, Käpylä MJ, Brandenburg A (2014) Confirmation of bistable stellar differential rotation profiles. Astron Astrophys 570:A43. doi:10.1051/0004-6361/201423412. arXiv:1401.2981 Käpylä PJ, Käpylä MJ, Olspert N, Warnecke J, Brandenburg A (2017) Convection-driven spherical shell dynamos at varying Prandtl numbers. Astron Astrophys 599:A4. doi:10.1051/0004-6361/201628973 Karak BB, Jiang J, Miesch MS, Charbonneau P, Choudhuri AR (2014) Flux transport dynamos: from kinematics to dynamics. Space Sci Rev 186:561–602. doi:10.1007/s11214-014-0099-6 Karak BB, Käpylä PJ, Käpylä MJ, Brandenburg A, Olspert N, Pelt J (2015) Magnetically controlled stellar differential rotation near the transition from solar to anti-solar profiles. Astron Astrophys 576:A26. doi:10.1051/0004-6361/201424521. arXiv:1407.0984 Kasting JF, Toon OB (1989) Climate evolution on the terrestrial planets. In: Atreya SK, Pollack JB, Matthews MS (eds) Origin and evolution of planetary and satellite atmospheres. University of Arizona Press, Tucson, pp 423–449 Kawaler SD (1988) Angular momentum loss in low-mass stars. Astrophys J 333:236–247. doi:10.1086/166740 Keppens R, Goedbloed JP (1999) Numerical simulations of stellar winds: polytropic models. Astron Astrophys 343:251–260 Keppens R, MacGregor KB, Charbonneau P (1995) On the evolution of rotational velocity distributions for solar-type stars. Astron Astrophys 294:469–487 Kimura K, Takehiro SI, Yamada M (2011) Stability and bifurcation diagram of Boussinesq thermal convection in a moderately rotating spherical shell. Phys Fluids 23:074,101. doi:10.1063/1.3602917 King EM, Stellmach S, Aurnou JM (2012) Heat transfer by rapidly rotating Rayleigh–Bénard convection. J Fluid Mech 691:568–582. doi:10.1017/jfm.2011.493 Kippenhahn R, Weigert A, Weiss A (2013) Stellar structure and evolution. Astronomy and astrophysics library. Springer, Berlin. doi:10.1007/978-3-642-30304-3 Kitchatinov LL, Moss D, Sokoloff D (2014) Magnetic fields in fully convective M-dwarfs: oscillatory dynamos versus bistability. Mon Not R Astron Soc 442:L1–L4. doi:10.1093/mnrasl/slu041. arXiv:1401.1764 Kochukhov O (2006) Remarkable non-dipolar magnetic field of the Bp star HD 137509. Astron Astrophys 454:321–325. doi:10.1051/0004-6361:20064932. arXiv:astro-ph/0603831 Kochukhov O (2016) Doppler and Zeeman Doppler imaging of stars. In: Rozelot JP, Neiner C (eds) Cartography of the Sun and the stars. Lecture Notes in Physics, vol 914. Springer, Cham, p 177. doi:10.1007/978-3-319-24151-7_9 Kochukhov O, Bagnulo S, Wade GA, Sangalli L, Piskunov N, Landstreet JD, Petit P, Sigut TAA (2004) Magnetic Doppler imaging of 53 Camelopardalis in all four Stokes parameters. Astron Astrophys 414:613–632. doi:10.1051/0004-6361:20031595 Koenigl A (1991) Disk accretion onto magnetic T Tauri stars. Astrophys J Lett 370:L39–L43. doi:10.1086/185972 Kosovichev AG (2009) Photospheric and subphotospheric dynamics of emerging magnetic flux. Space Sci Rev 144:175–195. doi:10.1007/s11214-009-9487-8. arXiv:0901.0035 Kosugi T, Matsuzaki K, Sakao T, Shimizu T, Sone Y, Tachikawa S, Hashimoto T, Minesugi K, Ohnishi A, Yamada T, Tsuneta S, Hara H, Ichimoto K, Suematsu Y, Shimojo M, Watanabe T, Shimada S, Davis JM, Hill LD, Owens JK, Title AM, Culhane JL, Harra LK, Doschek GA, Golub L (2007) The hinode (Solar-B) mission: an overview. Solar Phys 243:3–17. doi:10.1007/s11207-007-9014-6 Krishnamurthi A, Pinsonneault MH, Barnes S, Sofia S (1997) Theoretical models of the angular momentum evolution of solar-type stars. Astrophys J 480:303. doi:10.1086/303958 Krivova NA, Solanki SK, Fligge M, Unruh YC (2003) Reconstruction of solar irradiance variations in cycle 23: is solar surface magnetism the cause? Astron Astrophys 399:L1–L4. doi:10.1051/0004-6361:20030029 Kudritzki RP, Puls J (2000) Winds from hot stars. Annu Rev Astron Astrophys 38:613–666. doi:10.1146/annurev.astro.38.1.613 Kuhlen M, Woosley WE, Glatzmaier GA (2003) 3D anelastic simulations of convection in massive stars. In: Turcotte S, Keller SC, Cavallo RM (eds) 3D stellar evolution, Astronomical Society of the Pacific, San Francisco, ASP conference series, vol 293, p 147. arXiv:astro-ph/0210557 Küker M, Rüdiger G (2007) Modelling the differential rotation of F stars. Astron Nachr 328:1050. doi:10.1002/asna.200710855 Küker M, Rüdiger G (2012) Differential rotation and meridional flows of K giants: predictions from mean field theory. Astron Nachr 333:1028. doi:10.1002/asna.201211810 Küker M, Rüdiger G, Kitchatinov LL (2011) The differential rotation of G dwarfs. Astron Astrophys 530:A48. doi:10.1051/0004-6361/201015994. arXiv:1101.5297 Kulsrud RM (2005) Plasma physics for astrophysics. Princeton University Press, Princeton Kumar P, Quataert EJ (1997) Angular momentum transport by gravity waves and its effect on the rotation of the solar interior. Astrophys J Lett 475:L143–L146. doi:10.1086/310477. arXiv:astro-ph/9611006 Laj C, Channell JET (2007) Geomagnetic excursions. In: Schubert G (ed) Geomagnetism, treatise on geophysics, vol 5. Elsevier, Amsterdam, pp 373–416. doi:10.1016/B978-044452748-6.00095-X Lammer H, Lichtenegger HIM, Kulikov YN, Grießmeier JM, Terada N, Erkaev NV, Biernat HK, Khodachenko ML, Ribas I, Penz T, Selsis F (2007) Coronal Mass Ejection (CME) Activity of low mass M stars as an important factor for the habitability of terrestrial exoplanets. II. CME-induced ion pick up of earth-like exoplanets in close-in habitable zones. Astrobiology 7:185–207. doi:10.1089/ast.2006.0128 Landstreet JD (1982) A search for magnetic fields in normal upper-main-sequence stars. Astrophys J 258:639–650. doi:10.1086/160114 Landstreet JD (1992) Magnetic fields at the surfaces of stars. Astron Astrophys Rev 4:35–77. doi:10.1007/BF00873569 Lanza AF (2016) Imaging surface spots from space-borne photometry. In: J-P R, C N (eds) Cartography of the Sun and the Stars. Lecture Notes in Physics, vol 914. Springer, Cham, pp 43–68. doi:10.1007/978-3-319-24151-7_3 Lanza AF, Rodonò M, Pagano I, Barge P, Llebaria A (2003) Modelling the rotational modulation of the Sun as a star. Astron Astrophys 403:1135–1149. doi:10.1051/0004-6361:20030401 Lanza AF, Messina S, Pagano I, Rodonò M (2006) A model to simulate synthetic light curves of solar-like stars. Astron Nachr 327:21–28. doi:10.1002/asna.200510479 Lanza AF, Pagano I, Leto G, Messina S, Aigrain S, Alonso R, Auvergne M, Baglin A, Barge P, Bonomo AS, Boumier P, Collier Cameron A, Comparato M, Cutispoto G, de Medeiros JR, Foing B, Kaiser A, Moutou C, Parihar PS, Silva-Valio A, Weiss WW (2009) Magnetic activity in the photosphere of CoRoT-Exo-2a. Active longitudes and short-term spot cycle in a young Sun-like star. Astron Astrophys 493:193–200. doi:10.1051/0004-6361:200810591. arXiv:0811.0461 Lanza AF, Das Chagas ML, De Medeiros JR (2014) Measuring stellar differential rotation with high-precision space-borne photometry. Astron Astrophys 564:A50. doi:10.1051/0004-6361/201323172. arXiv:1402.6691 Lazarus AJ, McNutt RL Jr (1990) Plasma observations in the distant heliosphere: a view from Voyager. In: Grzedzielski S, Page DE (eds) Physics of the outer heliosphere. Pergamon Press, Oxford, pp 229–234 Lecoanet D, Quataert E (2013) Internal gravity wave excitation by turbulent convection. Mon Not R Astron Soc 430:2363–2376. doi:10.1093/mnras/stt055. arXiv:1210.4547 Lecoanet D, Le Bars M, Burns KJ, Vasil GM, Brown BP, Quataert E, Oishi JS (2015) Numerical simulations of internal wave generation by convection in water. Phys Rev E 91:063016. doi:10.1103/PhysRevE.91.063016. arXiv:1412.3109 Lee CO, Luhmann JG, Hoeksema JT, Sun X, Arge CN, de Pater I (2011) Coronal field opens at lower height during the solar cycles 22 and 23 minimum periods: IMF comparison suggests the source surface should be lowered. Solar Phys 269:367–388. doi:10.1007/s11207-010-9699-9 Leighton RB (1964) Transport of magnetic fields on the Sun. Astrophys J 140:1547. doi:10.1086/148058 Leighton RB (1969) A magneto-kinematic model of the solar cycle. Astrophys J 156:1. doi:10.1086/149943 Lemen JR, Title AM, Akin DJ, Boerner PF, Chou C, Drake JF, Duncan DW, Edwards CG, Friedlaender FM, Heyman GF, Hurlburt NE, Katz NL, Kushner GD, Levay M, Lindgren RW, Mathur DP, McFeaters EL, Mitchell S, Rehse RA, Schrijver CJ, Springer LA, Stern RA, Tarbell TD, Wuelser JP, Wolfson CJ, Yanari C, Bookbinder JA, Cheimets PN, Caldwell D, Deluca EE, Gates R, Golub L, Park S, Podgorski WA, Bush RI, Scherrer PH, Gummin MA, Smith P, Auker G, Jerram P, Pool P, Soufli R, Windt DL, Beardsley S, Clapp M, Lang J, Waltham N (2012) The atmospheric imaging assembly (AIA) on the solar dynamics observatory (SDO). Solar Phys 275:17–40. doi:10.1007/s11207-011-9776-8 Lignières F, Petit P, Aurière M, Wade GA, Böhm T (2014) The dichotomy between strong and ultra-weak magnetic fields among intermediate-mass stars. In: Petit P, Jardine M, Spruit HC (eds) Magnetic fields throughout stellar evolution. IAU symposium, vol 302, pp 338–347. doi:10.1017/S1743921314002440. arXiv:1402.5362 Lim J, White SM (1996) Limits to mass outflows from late-type dwarf stars. Astrophys J Lett 462:L91. doi:10.1086/310038 Lindsey C, Braun DC (2000) Seismic images of the far side of the Sun. Science 287:1799–1801. doi:10.1126/science.287.5459.1799 Linsky JL, Haisch BM (1979) Outer atmospheres of cool stars. I. The sharp division into solar-type and non-solar-type stars. Astrophys J Lett 229:L27–L32. doi:10.1086/182924 Linsky JL, Schöller M (2015) Observations of strong magnetic fields in nondegenerate stars. Space Sci Rev 191:27–76. doi:10.1007/s11214-015-0143-1 Linsky JL, Wood BE (2004) Hydrogen walls: mass loss of dwarf stars and the young Sun. In: Poletto G, Suess ST (eds) The Sun and the heliosphere as an integrated system. Astrophysics and space science library, vol 317. Springer. doi:10.1007/978-1-4020-2666-9_1 Linsky JL, Wood BE (2014) Lyman-\(\alpha \) observations of astrospheres. ASTRA Proc 1:43–49. doi:10.5194/ap-1-43-2014. arXiv:1408.5934 Lockwood GW, Skiff BA, Henry GW, Henry S, Radick RR, Baliunas SL, Donahue RA, Soon W (2007) Patterns of photometric and chromospheric variation among Sun-like stars: a 20 year perspective. Astrophys J Suppl 171:260–303. doi:10.1086/516752. arXiv:astro-ph/0703408 López-Morales M (2007) On the correlation between the magnetic activity levels, metallicities, and radii of low-mass stars. Astrophys J 660:732–739. doi:10.1086/513142 Low BC (2002) Magnetic coupling between the corona and the solar dynamo. In: Sawaya-Lacoste H (ed) SOLMAG 2002. Proceedings of the magnetic coupling of the solar atmosphere euroconference, ESA Special Publication, vol 505, pp 35–39 Lucy LB, White RL (1980) X-ray emission from the winds of hot stars. Astrophys J 241:300–305 Mabuchi J, Masada Y, Kageyama A (2015) Differential rotation in magnetized and non-magnetized stars. Astrophys J 806:10. doi:10.1088/0004-637X/806/1/10. arXiv:1504.01129 MacDonald J, Mullan DJ (2004) Magnetic fields in massive stars: dynamics and origin. Mon Not R Astron Soc 348:702–716. doi:10.1111/j.1365-2966.2004.07394.x MacDonald J, Mullan DJ (2012) Precision modelling of M dwarf stars: the magnetic components of CM Draconis. Mon Not R Astron Soc 421:3084–3101. doi:10.1111/j.1365-2966.2012.20531.x. arXiv:1106.1452 MacDonald J, Mullan DJ (2013) Magnetic effects and oversized M dwarfs in the young open cluster NGC 2516. Astrophys J 765:126. doi:10.1088/0004-637X/765/2/126. arXiv:1302.2941 MacDonald J, Mullan DJ (2014) Surface magnetic field strengths: new tests of magnetoconvective models of M dwarfs. Astrophys J 787:70. doi:10.1088/0004-637X/787/1/70 MacDonald J, Mullan DJ (2015) Magnetoconvective models of red dwarfs: constraints imposed by the lithium abundance. Mon Not R Astron Soc 448:2019–2029. doi:10.1093/mnras/stv114. arXiv:1501.04550 MacGregor KB, Brenner M (1991) Rotational evolution of solar-type stars. I—Main-sequence evolution. Astrophys J 376:204–213. doi:10.1086/170269 MacGregor KB, Cassinelli JP (2003) Magnetic fields in massive stars. II. The buoyant rise of magnetic flux tubes through the radiative interior. Astrophys J 586:480–494. doi:10.1086/346257. arXiv:astro-ph/0212224 Maehara H, Shibayama T, Notsu S, Notsu Y, Nagao T, Kusaba S, Honda S, Nogami D, Shibata K (2012) Superflares on solar-type stars. Nature 485:478–481. doi:10.1038/nature11063 Malkus WVR, Proctor MRE (1975) The macrodynamics of alpha-effect dynamos in rotating fluids. J Fluid Mech 67:417–443. doi:10.1017/S0022112075000390 Mamajek EE, Hillenbrand LA (2008) Improved age estimation for solar-type dwarfs using activity-rotation diagnostics. Astrophys J 687:1264–1293. doi:10.1086/591785. arXiv:0807.1686 Manneville P (2010) Instabilities, chaos and turbulence, 2nd edn. World Scientific Press, Singapore. doi:10.1142/p642 Manoharan PK (2012) Three-dimensional evolution of solar wind during solar cycles 22–24. Astrophys J 751:128. doi:10.1088/0004-637X/751/2/128. arXiv:1203.6715 Marcy GW, Chen GH (1992) The rotation of M dwarfs. Astrophys J 390:550–559. doi:10.1086/171305 Markey P, Tayler RJ (1973) The adiabatic stability of stars containing magneticfields-II. Poloidal fields. Mon Not R Astron Soc 163:77 Marsch E (2006) Kinetic physics of the solar corona and solar wind. Living Rev Solar Phys 1:lrsp-2006-1. doi:10.12942/lrsp-2006-1. http://www.livingreviews.org/lrsp-2006-1 Marsden SC, Petit P, Jeffers SV, Morin J, Fares R, Reiners A, do Nascimento JD, Aurière M, Bouvier J, Carter BD, Catala C, Dintrans B, Donati JF, Gastine T, Jardine M, Konstantinova-Antova R, Lanoux J, Lignières F, Morgenthaler A, Ramìrez-Vèlez JC, Théado S, Van Grootel V, BCool Collaboration (2014) A BCool magnetic snapshot survey of solar-type stars. Mon Not R Astron Soc 444:3517–3536. doi:10.1093/mnras/stu1663. arXiv:1311.3374 Martínez-Sykora J, Hansteen V, Carlsson M (2008) Twisted flux tube emergence from the convection zone to the corona. Astrophys J 679:871–888. doi:10.1086/587028. arXiv:0712.3854 Martínez-Sykora J, Moreno-Insertis F, Cheung MCM (2015) Multi-parametric study of rising 3D buoyant flux tubes in an adiabatic stratification using AMR. Astrophys J 814:2. doi:10.1088/0004-637X/814/1/2. arXiv:1507.01506 Masada Y, Sano T, Takabe H (2006) Nonaxisymmetric magnetorotational instability in proto-neutron stars. Astrophys J 641:447–457. doi:10.1086/500391. arXiv:astro-ph/0512311 Masada Y, Yamada K, Kageyama A (2013) Effects of penetrative convection on solar dynamo. Astrophys J 778:11. doi:10.1088/0004-637X/778/1/11. arXiv:1304.1252 Mathur S, García RA, Morgenthaler A, Salabert D, Petit P, Ballot J, Régulo C, Catala C (2013) Constraining magnetic-activity modulations in three solar-like stars observed by CoRoT and NARVAL. Astron Astrophys 550:A32. doi:10.1051/0004-6361/201117913. arXiv:1212.0630 Matt S, Pudritz RE (2008) Accretion-powered stellar winds. II. Numerical solutions for stellar wind torques. Astrophys J 678:1109–1118 Matt SP, Do Cao O, Brown BP, Brun AS (2011) Convection and differential rotation properties of G and K stars computed with the ASH code. Astron Nachr 332:897. doi:10.1002/asna.201111624. arXiv:1111.5585 Matt SP, MacGregor KB, Pinsonneault MH, Greene TP (2012) Magnetic braking formulation for Sun-like stars: dependence on dipole field strength and rotation rate. Astrophys J Lett 754:L26. doi:10.1088/2041-8205/754/2/L26. arXiv:1206.2354 Matt SP, Brun AS, Baraffe I, Bouvier J, Chabrier G (2015) The mass-dependence of angular momentum evolution in Sun-like stars. Astrophys J Lett 799:L23. doi:10.1088/2041-8205/799/2/L23. arXiv:1412.4786 Mays ML, Taktakishvili A, Pulkkinen A, MacNeice PJ, Rastätter L, Odstrcil D, Jian LK, Richardson IG, LaSota JA, Zheng Y, Kuznetsova MM (2015) Ensemble modeling of CMEs using the WSA-ENLIL+Cone model. Solar Phys 290:1775–1814. doi:10.1007/s11207-015-0692-1. arXiv:1504.04402 McComas DJ, Ebert RW, Elliott HA, Goldstein BE, Gosling JT, Schwadron NA, Skoug RM (2008) Weaker solar wind from the polar coronal holes and the whole Sun. Geophys Res Lett 35:L18103. doi:10.1029/2008GL034896 McComas DJ, Allegrini F, Bzowski M, Dayeh MA, DeMajistre R, Funsten HO, Fuselier SA, Gruntman M, Janzen PH, Kubiak MA, Kucharek H, Möbius E, Reisenfeld DB, Schwadron NA, Sokół JM, Tokumaru M (2014) IBEX: the first five years (2009–2013). Astrophys J Suppl 213:20. doi:10.1088/0067-0049/213/2/20 McLean M, Berger E, Reiners A (2012) The radio activity-rotation relation of ultracool dwarfs. Astrophys J 746:23. doi:10.1088/0004-637X/746/1/23. arXiv:1108.0415 McQuillan A, Aigrain S, Roberts S (2012) Statistics of stellar variability from Kepler. I. Revisiting quarter 1 with an astrophysically robust systematics correction. Astron Astrophys 539:A137. doi:10.1051/0004-6361/201016148. arXiv:1111.5580 McQuillan A, Mazeh T, Aigrain S (2014) Rotation periods of 34,030 Kepler main-sequence stars: the full autocorrelation sample. Astrophys J Suppl 211:24. doi:10.1088/0067-0049/211/2/24. arXiv:1402.5694 Meakin CA, Arnett D (2007) Turbulent convection in stellar interiors. I. Hydrodynamic simulation. Astrophys J 667:448–475. doi:10.1086/520318. arXiv:astro-ph/0611315 Meibom S, Barnes SA, Platais I, Gilliland RL, Latham DW, Mathieu RD (2015) A spin-down clock for cool stars from observations of a 2.5-billion-year-old cluster. Nature 517:589–591. doi:10.1038/nature14118. arXiv:1501.05651 Messina S, Guinan EF (2003) Magnetic activity of six young solar analogues II. Surface differential rotation from long-term photometry. Astron Astrophys 409:1017–1030. doi:10.1051/0004-6361:20031161 Messina S, Pizzolato N, Guinan EF, Rodonò M (2003) Dependence of coronal X-ray emission on spot-induced brightness variations in cool main sequence stars. Astron Astrophys 410:671–684. doi:10.1051/0004-6361:20031203 Mestel L (1999) Stellar magnetism. International series of monographs on physics, vol 99. Clarendon, Oxford Mestel L, Tayler RJ, Moss DL (1988) The mutual interaction of magnetism, rotation and meridian circulation in stellar radiative zones. Mon Not R Astron Soc 231:873–885. doi:10.1093/mnras/231.4.873 Metcalfe TS, Basu S, Henry TJ, Soderblom DR, Judge PG, Knölker M, Mathur S, Rempel M (2010a) Discovery of a 1.6 year magnetic activity cycle in the exoplanet host star \(\iota \) horologii. Astrophys J Lett 723:L213–L217. doi:10.1088/2041-8205/723/2/L213. arXiv:1009.5399 Metcalfe TS, Monteiro MJPFG, Thompson MJ, Molenda-Żakowicz J et al (2010b) A precise asteroseismic age and radius for the evolved Sun-like star KIC 11026764. Astrophys J 723:1583–1598. doi:10.1088/0004-637X/723/2/1583. arXiv:1010.4329 Metcalfe TS, Creevey OL, Doğan G, Mathur S, Xu H, Bedding TR, Chaplin WJ, Christensen-Dalsgaard J, Karoff C, Trampedach R, Benomar O, Brown BP, Buzasi DL, Campante TL, Çelik Z, Cunha MS, Davies GR, Deheuvels S, Derekas A, Di Mauro MP, García RA, Guzik JA, Howe R, MacGregor KB, Mazumdar A, Montalbán J, Monteiro MJPFG, Salabert D, Serenelli A, Stello D, Steşacute, licki M, Suran MD, Yıldız M, Aksoy C, Elsworth Y, Gruberbauer M, Guenther DB, Lebreton Y, Molaverdikhani K, Pricopi D, Simoniello R, White TR (2014) Properties of 42 solar-type Kepler targets from the asteroseismic modeling portal. Astrophys J Suppl 214:27. doi:10.1088/0067-0049/214/2/27. arXiv:1402.3614 Metcalfe TS, Egeland R, van Saders J (2016) Stellar evidence that the solar dynamo may be in transition. Astrophys J Lett 826:L2. doi:10.3847/2041-8205/826/1/L2. arXiv:1606.01926 Micela G, Marino A (2003) A comparison between the X-ray variable Sun and solar-like main sequence stars. Astron Astrophys 404:637–643. doi:10.1051/0004-6361:20030517 Michaud G, Charbonneau P (1991) The lithium abundance in stars. Space Sci Rev 57:1–58. doi:10.1007/BF00195950 Miesch MS, Toomre J (2009) Turbulence, magnetism, and shear in stellar interiors. Annu Rev Fluid Mech 41:317–345. doi:10.1146/annurev.fluid.010908.165215 Miesch MS, Elliott JR, Toomre J, Clune TL, Glatzmaier GA, Gilman PA (2000) Three-dimensional spherical simulations of solar convection. I. Differential rotation and pattern evolution achieved with laminar and turbulent states. Astrophys J 532:593–615. doi:10.1086/308555 Miesch MS, Brun AS, De Rosa ML, Toomre J (2008) Structure and evolution of giant cells in global models of solar convection. Astrophys J 673:557–575. doi:10.1086/523838. arXiv:0707.1460 Minton DA, Malhotra R (2007) Assessing the massive young sun hypothesis to solve the warm young earth puzzle. Astrophys J 660:1700–1706. doi:10.1086/514331. arXiv:astro-ph/0612321 Miyahara H, Kitazawa K, Nagaya K, Yokoyama Y, Matsuzaki H, Masuda K, Nakamura T, Muraki Y (2010) Is the Sun heading for another Maunder minimum? Precursors of the grand solar minima. J Cosmol 8:1970–1982 Moffatt HK (1978) Magnetic field generation in electrically conducting fluids. Cambridge Monographs on Mechanics and Applied Mathematics. Cambridge University Press, Cambridge Mohanty S, Basri G (2003) Rotation and activity in mid-M to L field dwarfs. Astrophys J 583:451–472. doi:10.1086/345097 Mohanty S, Basri G, Shu F, Allard F, Chabrier G (2002) Activity in very cool stars: magnetic dissipation in late M and L dwarf atmospheres. Astrophys J 571:469–486. doi:10.1086/339911. arXiv:astro-ph/0201518 Montesinos B, Thomas JH, Ventura P, Mazzitelli I (2001) A new look at the relationship between activity, dynamo number and Rossby number in late-type stars. Mon Not R Astron Soc 326:877–884. doi:10.1046/j.1365-8711.2001.04476.x Morales JC, Ribas I, Jordi C (2008) The effect of activity on stellar temperatures and radii. Astron Astrophys 478:507–512. doi:10.1051/0004-6361:20078324. arXiv:0711.3523 Morel P (1997) CESAM: a code for stellar evolution calculations. Astron Astrophys Suppl 124:597–614 Morgenthaler A, Petit P, Morin J, Aurière M, Dintrans B, Konstantinova-Antova R, Marsden S (2011) Direct observation of magnetic cycles in Sun-like stars. Astron Nachr 332:866. doi:10.1002/asna.201111592. arXiv:1109.3982 Morin J, Donati JF, Petit P, Delfosse X, Forveille T, Albert L, Aurière M, Cabanac R, Dintrans B, Fares R, Gastine T, Jardine MM, Lignières F, Paletou F, Ramirez Velez JC, Théado S (2008) Large-scale magnetic topologies of mid M dwarfs. Mon Not R Astron Soc 390:567–581. doi:10.1111/j.1365-2966.2008.13809.x. arXiv:0808.1423 Morin J, Donati JF, Petit P, Delfosse X, Forveille T, Jardine MM (2010) Large-scale magnetic topologies of late M dwarfs. Mon Not R Astron Soc 407:2269–2286. doi:10.1111/j.1365-2966.2010.17101.x. arXiv:1005.5552 Morin J, Dormy E, Schrinner M, Donati JF (2011) Weak- and strong-field dynamos: from the Earth to the stars. Mon Not R Astron Soc 418:L133–L137. doi:10.1111/j.1745-3933.2011.01159.x. arXiv:1106.4263 Moss D (2003) The survival of fossil magnetic fields during pre-main sequence evolution. Astron Astrophys 403:693–697. doi:10.1051/0004-6361:20030431 Moss D (2004) Dynamo models and the flip-flop phenomenon in late-type stars. Mon Not R Astron Soc 352:L17–L20. doi:10.1111/j.1365-2966.2004.08125.x Moss D, Brooke J (2000) Towards a model for the solar dynamo. Mon Not R Astron Soc 315:521–533. doi:10.1046/j.1365-8711.2000.03452.x Moss DL, Mestel L, Tayler RJ (1990) The rotation of early type magnetic stars. Mon Not R Astron Soc 245:550 Mosser B, Baudin F, Lanza AF, Hulot JC, Catala C, Baglin A, Auvergne M (2009) Short-lived spots in solar-like stars as observed by CoRoT. Astron Astrophys 506:245–254. doi:10.1051/0004-6361/200911942. arXiv:0908.2355 Moutou C, Pont F, Barge P, Aigrain S, Auvergne M, Blouin D, Cautain R, Erikson AR, Guis V, Guterman P, Irwin M, Lanza AF, Queloz D, Rauer H, Voss H, Zucker S (2005) Comparative blind test of five planetary transit detection algorithms on realistic synthetic light curves. Astron Astrophys 437:355–368. doi:10.1051/0004-6361:20042334 Muñoz-Jaramillo A, Nandy D, Martens PCH (2011) Magnetic quenching of turbulent diffusivity: reconciling mixing-length theory estimates with kinematic dynamo models of the solar cycle. Astrophys J Lett 727:L23. doi:10.1088/2041-8205/727/1/L23 Mullan DJ, MacDonald J (2001) Are magnetically active low-mass M dwarfs completely convective? Astrophys J 559:353 Murray MJ, Hood AW, Moreno-Insertis F, Galsgaard K, Archontis V (2006) 3D simulations identifying the effects of varying the twist and field strength of an emerging flux tube. Astron Astrophys 460:909–923. doi:10.1051/0004-6361:20065950 Nandy D, Muñoz-Jaramillo A, Martens PCH (2011) The unusual minimum of sunspot cycle 23 caused by meridional plasma flow variations. Nature 471:80–82. doi:10.1038/nature09786. arXiv:1303.0349 Nelson NJ, Brown BP, Brun AS, Miesch MS, Toomre J (2011) Buoyant magnetic loops in a global dynamo simulation of a young Sun. Astrophys J Lett 739:L38. doi:10.1088/2041-8205/739/2/L38. arXiv:1108.4697 Nelson NJ, Brown BP, Brun AS, Miesch MS, Toomre J (2013) Magnetic wreaths and cycles in convective dynamos. Astrophys J 762:73. doi:10.1088/0004-637X/762/2/73. arXiv:1211.3129 Nelson NJ, Brown BP, Sacha Brun A, Miesch MS, Toomre J (2014) Buoyant magnetic loops generated by global convective dynamo action. Solar Phys 289:441–458. doi:10.1007/s11207-012-0221-4. arXiv:1212.5612 Newton ER, Irwin J, Charbonneau D, West AA, Berta-Thompson ZK, Dittmann J (2015) The rotation of nearby M dwarfs and implications for exoplanet discovery. In: AAS/Division for Extreme Solar Systems Abstracts, AAS/Division for Extreme Solar Systems Abstracts, vol 3, p 112.03 Newton ER, Irwin J, Charbonneau D, Berlind P, Calkins ML, Mink J (2017) The H\(\alpha \) emission of nearby M dwarfs and its relation to stellar rotation. Astrophys J 834:85. doi:10.3847/1538-4357/834/1/85. arXiv:1611.03509 Nordlund Å, Stein RF, Asplund M (2009) Solar surface convection. Living Rev Solar Phys 6:lrsp-2009-2. doi:10.12942/lrsp-2009-2. http://www.livingreviews.org/lrsp-2009-2 Noyes RW, Hartmann LW, Baliunas SL, Duncan DK, Vaughan AH (1984a) Rotation, convection, and magnetic activity in lower main-sequence stars. Astrophys J 279:763–777. doi:10.1086/161945 Noyes RW, Weiss NO, Vaughan AH (1984b) The relation between stellar rotation rate and activity cycle periods. Astrophys J 287:769–773. doi:10.1086/162735 Ofman L (2010) Wave modeling of the solar wind. Living Rev Solar Phys 7:lrsp-2010-4. doi:10.12942/lrsp-2010-4. http://www.livingreviews.org/lrsp-2010-4 Oglethorpe RLF, Garaud P (2013) Spin-down dynamics of magnetized solar-type stars. Astrophys J 778:166. doi:10.1088/0004-637X/778/2/166. arXiv:1401.0932 Ogura Y, Phillips NA (1962) Scale analysis of deep and shallow convection in the atmosphere. J Atmos Sci 19:173–179. doi:10.1175/1520-0469(1962)019<0173:SAODAS>2.0.CO;2 Oláh K, Kolláth Z, Granzer T, Strassmeier KG, Lanza AF, Järvinen S, Korhonen H, Baliunas SL, Soon W, Messina S, Cutispoto G (2009) Multiple and changing cycles of active stars. II. Results. Astron Astrophys 501:703–713. doi:10.1051/0004-6361/200811304. arXiv:0904.1747 Oláh K, Kővári Z, Petrovay K, Soon W, Baliunas S, Kolláth Z, Vida K (2016) Magnetic cycles at different ages of stars. Astron Astrophys 590:A133. doi:10.1051/0004-6361/201628479. arXiv:1604.06701 Oruba L, Dormy E (2014) Predictive scaling laws for spherical rotating dynamos. Geophys J Int 198:828–847. doi:10.1093/gji/ggu159. arXiv:1311.7395 Oshagh M, Santos NC, Boisse I, Boué G, Montalto M, Dumusque X, Haghighipour N (2013) Effect of stellar spots on high-precision transit light-curve. Astron Astrophys 556:A19. doi:10.1051/0004-6361/201321309. arXiv:1306.0739 Ossendrijver AJH, Hoyng P (1996) Stochastic and nonlinear fluctuations in a mean field dynamo. Astron Astrophys 313:959–970 Ossendrijver M (2003) The solar dynamo. Astron Astrophys Rev 11:287–367. doi:10.1007/s00159-003-0019-3 Osten RA, Wolk SJ (2015) Connecting flares and transient mass-loss events in magnetically active stars. Astrophys J 809:79. doi:10.1088/0004-637X/809/1/79. arXiv:1506.04994 Owens MJ, Forsyth RJ (2013) The heliospheric magnetic field. Living Rev Solar Phys 10:lrsp-2013-5. doi:10.12942/lrsp-2013-5. http://www.livingreviews.org/lrsp-2013-5 Owens MJ, Lockwood M, Riley P (2017) Global solar wind variations over the last four centuries. Sci Rep 7:41548. doi:10.1038/srep41548 Owocki SP, Castor JI, Rybicki GB (1988) Time-dependent models of radiatively driven stellar winds. I. Nonlinear evolution of instabilities for a pure absorption model. Astrophys J 335:914–930 Pallavicini R, Golub L, Rosner R, Vaiana GS, Ayres T, Linsky JL (1981) Relations among stellar X-ray emission observed from Einstein, stellar rotation and bolometric luminosity. Astrophys J 248:279–290. doi:10.1086/159152 Pap JM, Fox PA (2003) Solar variability and its effects on climate, Geophysical Monograph, vol 141. American Geophysical Union, Washington, DC. doi:10.1029/GM141 Parker EN (1955a) Hydromagnetic dynamo models. Astrophys J 122:293. doi:10.1086/146087 Parker EN (1955b) The formation of sunspots from the solar toroidal field. Astrophys J 121:491. doi:10.1086/146010 Parker EN (1958) Dynamics of the interplanetary gas and magnetic fields. Astrophys J 128:664. doi:10.1086/146579 Parker EN (1975) The generation of magnetic fields in astrophysical bodies. X-Magnetic buoyancy and the solar dynamo. Astrophys J 198:205 Parker EN (1993) A solar dynamo surface wave at the interface between convection and nonuniform rotation. Astrophys J 408:707–719. doi:10.1086/172631 Parnell CE, De Moortel I (2012) A contemporary view of coronal heating. Philos Trans R Soc Lond Ser A 370:3217–3240. doi:10.1098/rsta.2012.0113. arXiv:1206.6097 Passos D, Charbonneau P (2014) Characteristics of magnetic solar-like cycles in a 3D MHD simulation of solar convection. Astron Astrophys 568:A113. doi:10.1051/0004-6361/201423700 Pedlosky J (1982) Geophysical fluid dynamics. Springer, New York Pesnell WD, Thompson BJ, Chamberlin PC (2012) The solar dynamics observatory (SDO). Solar Phys 275:3–15. doi:10.1007/s11207-011-9841-3 Petit P, Dintrans B, Solanki SK, Donati J, Aurière M, Lignières F, Morin J, Paletou F, Ramirez Velez J, Catala C, Fares R (2008) Toroidal versus poloidal magnetic fields in Sun-like stars: a rotation threshold. Mon Not R Astron Soc 388:80–88. doi:10.1111/j.1365-2966.2008.13411.x. arXiv:0804.1290 Pevtsov AA et al (2003) The relationship between X-ray radiance and magnetic flux. Astrophys J 598:1387–1391. doi:10.1086/378944 Pierrehumbert RT (2010) Principles of planetary climate. Cambridge University Press, Cambridge Pinto RF, Brun AS (2013) Flux emergence in a magnetized convection zone. Astrophys J 772:55. doi:10.1088/0004-637X/772/1/55. arXiv:1305.2159 Pinto RF, Brun AS, Jouve L, Grappin R (2011) Coupling the solar dynamo and the corona: wind properties, mass, and momentum losses during an activity cycle. Astrophys J 737:72. doi:10.1088/0004-637X/737/2/72. arXiv:1106.0882 Pinto RF, Brun AS, Rouillard AP (2016) Flux-tube geometry and solar wind speed during an activity cycle. Astron Astrophys 592:A65. doi:10.1051/0004-6361/201628599. arXiv:1603.09251 Piskunov N, Kochukhov O (2002) Doppler imaging of stellar magnetic fields. I. Techniques. Astron Astrophys 381:736–756. doi:10.1051/0004-6361:20011517 Pitts E, Tayler RJ (1985) The adiabatic stability of stars containing magnetic fields. IV–The influence of rotation. Mon Not R Astron Soc 216:139–154 Pizzolato N, Maggio A, Micela G, Sciortino S, Ventura P (2003) The stellar activity-rotation relationship revisited: dependence of saturated and non-saturated X-ray emission regimes on stellar mass for late-type dwarfs. Astron Astrophys 397:147–157. doi:10.1051/0004-6361:20021560 Plumb RA, McEwan AD (1978) The instability of a forced standing wave in a viscous stratified fluid: a laboratory analogue of the quasi-biennial oscillation. J Atmos Sci 35:1827–1839. doi:10.1175/1520-0469(1978)035<1827:TIOAFS>2.0.CO;2 Pongkitiwanichakul P, Nigro G, Cattaneo F, Tobias SM (2016) Shear-driven dynamo waves in the fully nonlinear regime. Astrophys J 825:23. doi:10.3847/0004-637X/825/1/23 Ponomarenko YB (1973) Theory of the hydromagnetic generator. J Appl Mech Tech Phys 14:775–778. doi:10.1007/BF00853190 Ponty Y, Mininni PD, Montgomery DC, Pinton JF, Politano H, Pouquet A (2005) Numerical study of dynamo action at low magnetic Prandtl numbers. Phys Rev Lett 94:164502. doi:10.1103/PhysRevLett.94.164502. arXiv:physics/0410046 Pouquet A, Frisch U, Leorat J (1976) Strong MHD helical turbulence and the nonlinear dynamo effect. J Fluid Mech 77:321–354. doi:10.1017/S0022112076002140 Power J, Wade GA, Aurière M, Silvester J, Hanes D (2008) Properties of a volume-limited sample of Ap-stars. Contrib Astron Obs Skalnate Pleso 38:443–444 Prandtl L (1925) Bericht über Untersuchungen zur ausgebildeten Turbulenz. Z Angew Math Mech 5:136–139 Prat V, Lignières F, Ballot J (2016) Asymptotic theory of gravity modes in rotating stars. I. Ray dynamics. Astron Astrophys 587:A110. doi:10.1051/0004-6361/201527737. arXiv:1512.08907 Prendergast KH (1956) The equilibrium of a self-gravitating incompressible fluid sphere with a magnetic field. I. Astrophys J 123:498. doi:10.1086/146186 Priest E (2014) Magnetohydrodynamics of the Sun. Cambridge University Press, Cambridge. doi:10.1017/CBO9781139020732 Quataert E, Shiode J (2012) Wave-driven mass loss in the last year of stellar evolution: setting the stage for the most luminous core-collapse supernovae. Mon Not R Astron Soc 423:L92–L96. doi:10.1111/j.1745-3933.2012.01264.x. arXiv:1202.5036 Racine É, Charbonneau P, Ghizaru M, Bouchat A, Smolarkiewicz PK (2011) On the mode of dynamo action in a global large-eddy simulation of solar convection. Astrophys J 735:46. doi:10.1088/0004-637X/735/1/46 Radick RR, Lockwood GW, Skiff BA, Baliunas SL (1998) Patterns of variation among Sun-like stars. Astrophys J Suppl 118:239–258. doi:10.1086/313135 Raynaud R, Petitdemange L, Dormy E (2014) Influence of the mass distribution on the magnetic field topology. Astron Astrophys 567:A107. doi:10.1051/0004-6361/201423902. arXiv:1406.4743 Rebull LM, Wolff SC, Strom SE (2004) Stellar rotation in young clusters: the first 4 million years. Astron J 127:1029–1051. doi:10.1086/380931 Reid IN, Hawley SL (2005) New light on dark stars red dwarfs. Low-mass stars, brown stars. Springer-Praxis Books in Astrophysics and Astronomy, Springer, Praxis. doi:10.1007/3-540-27610-6 Reiners A (2012) Observations of cool-star magnetic fields. Living Rev Solar Phys 9:lrsp-2012-1. doi:10.12942/lrsp-2012-1. http://www.livingreviews.org/lrsp-2012-1. arXiv:1203.0241 Reiners A, Basri G (2007) The first direct measurements of surface magnetic fields on very low mass stars. Astrophys J 656:1121–1135. doi:10.1086/510304. arXiv:astro-ph/0610365 Reiners A, Basri G (2008) Chromospheric activity, rotation, and rotational braking in M and L dwarfs. Astrophys J 684:1390–1403. doi:10.1086/590073. arXiv:0805.1059 Reiners A, Basri G (2009) On the magnetic topology of partially and fully convective stars. Astron Astrophys 496:787–790. doi:10.1051/0004-6361:200811450. arXiv:0901.1659 Reiners A, Basri G (2010) A volume-limited sample of 63 M7–M9.5 dwarfs. II. Activity, magnetism, and the fade of the rotation-dominated dynamo. Astrophys J 710:924–935. doi:10.1088/0004-637X/710/2/924. arXiv:0912.4259 Reiners A, Mohanty S (2012) Radius-dependent angular momentum evolution in low-mass stars. I. Astrophys J 746:43. doi:10.1088/0004-637X/746/1/43. arXiv:1111.7071 Reiners A, Basri G, Browning M (2009) Evidence for magnetic flux saturation in rapidly rotating M stars. Astrophys J 692:538–545. doi:10.1088/0004-637X/692/1/538. arXiv:0810.5139 Reiners A, Joshi N, Goldman B (2012) A catalog of rotation and activity in early-M stars. Astron J 143:93. doi:10.1088/0004-6256/143/4/93. arXiv:1201.5774 Reiners A, Schüssler M, Passegger VM (2014) Generalized investigation of the rotation-activity relation: favoring rotation period instead of Rossby number. Astrophys J 794:144. doi:10.1088/0004-637X/794/2/144. arXiv:1408.6175 Reinhold T, Arlt R (2015) Discriminating solar and antisolar differential rotation in high-precision light curves. Astron Astrophys 576:A15. doi:10.1051/0004-6361/201425337. arXiv:1501.07817 Reinhold T, Gizon L (2015) Rotation, differential rotation, and gyrochronology of active Kepler stars. Astron Astrophys 583:A65. doi:10.1051/0004-6361/201526216. arXiv:1507.07757 Reinhold T, Reiners A (2013) Fast and reliable method for measuring stellar differential rotation from photometric data. Astron Astrophys 557:A11. doi:10.1051/0004-6361/201321161. arXiv:1306.2176 Reinhold T, Cameron RH, Gizon L (2017) Evidence for photometric activity cycles in 3203 Kepler stars. ArXiv e-prints arXiv:1705.03312 Rempel M (2005) Influence of random fluctuations in the \(\varLambda \)-effect on meridional flow and differential rotation. Astrophys J 631:1286–1292. doi:10.1086/432610. arXiv:astro-ph/0610132 Rempel M (2006) Flux-transport dynamos with Lorentz force feedback on differential rotation and meridional flow: saturation mechanism and torsional oscillations. Astrophys J 647:662–675. doi:10.1086/505170. arXiv:astro-ph/0604446 Rempel M (2015) Numerical simulations of sunspot decay: on the penumbra-evershed flow-moat flow connection. Astrophys J 814:125. doi:10.1088/0004-637X/814/2/125. arXiv:1511.01410 Rempel M, Cheung MCM (2014) Numerical simulations of active region scale flux emergence: from spot formation to decay. Astrophys J 785:90. doi:10.1088/0004-637X/785/2/90. arXiv:1402.4703 Réville V, Brun AS, Matt SP, Strugarek A, Pinto RF (2015a) The effect of magnetic topology on thermally driven wind: toward a general formulation of the braking law. Astrophys J 798:116. doi:10.1088/0004-637X/798/2/116. arXiv:1410.8746 Réville V, Brun AS, Strugarek A, Matt SP, Bouvier J, Folsom CP, Petit P (2015b) From solar to stellar corona: the role of wind, rotation, and magnetism. Astrophys J 814:99. doi:10.1088/0004-637X/814/2/99. arXiv:1509.06982 Réville V, Folsom CP, Strugarek A, Brun AS (2016) Age dependence of wind properties for solar-type stars: a 3D study. Astrophys J 832:145. doi:10.3847/0004-637X/832/2/145. arXiv:1609.06602 Ribes JC, Nesme-Ribes E (1993) The solar sunspot cycle in the Maunder minimum AD1645 to AD1715. Astron Astrophys 276:549 Rieutord M, Rincon F (2010) The Sun’s supergranulation. Living Rev Solar Phys 7:lrsp-2010-2. doi:10.12942/lrsp-2010-2. http://www.livingreviews.org/lrsp-2010-2. arXiv:1005.5376 Rimmer PB, Helling C (2013) Ionization in atmospheres of brown dwarfs and extrasolar planets. IV. The effect of cosmic rays. Astrophys J 774:108. doi:10.1088/0004-637X/774/2/108. arXiv:1307.3257 Roberts PH (1968) On the thermal instability of a rotating-fluid sphere containing heat sources. Philos Trans R Soc Lond Ser A 263:93–117. doi:10.1098/rsta.1968.0007 Roberts PH (1972) Kinematic dynamo models. Philos Trans R Soc Lond Ser A 272:663–698. doi:10.1098/rsta.1972.0074 Roberts PH (1988) Future of geodynamo theory. Geophys Astrophys Fluid Dyn 44:3–31. doi:10.1080/03091928808208876 Roberts PH (2009) Planetary dynamos: from equipartition to asymptopia. In: Strassmeier KG, Kosovichev AG, Beckman JE (eds) Cosmic magnetic fields: from planets, to stars and galaxies. IAU symposium, vol 259, pp 259–270. doi:10.1017/S1743921309030609 Roberts PH, King EM (2013) On the genesis of the Earth’s magnetism. Rep Prog Phys 76:096801. doi:10.1088/0034-4885/76/9/096801 Roberts PH, Stix M (1972) \(\alpha \)-Effect dynamos, by the Buliard-Geflman formalism. Astron Astrophys 18:453 Robertson P, Endl M, Cochran WD, Dodson-Robinson SE (2013) H\(\alpha \) Activity of old M dwarfs: stellar cycles and mean activity levels for 93 low-mass stars in the solar neighborhood. Astrophys J 764:3. doi:10.1088/0004-637X/764/1/3. arXiv:1211.6091 Robrade J, Schmitt JHMM (2009) Altair: the “hottest” magnetically active star in X-rays. Astron Astrophys 497:511–520. doi:10.1051/0004-6361/200811348. arXiv:0903.0966 Roettenbacher RM, Monnier JD, Korhonen H, Aarnio AN, Baron F, Che X, Harmon RO, Kővári Z, Kraus S, Schaefer GH, Torres G, Zhao M, Ten Brummelaar TA, Sturmann J, Sturmann L (2016) No Sun-like dynamo on the active star \(\zeta \) Andromedae from starspot asymmetry. Nature 533:217–220. doi:10.1038/nature17444 Rogallo RS, Moin P (1984) Numerical simulation of turbulent flows. Annu Rev Fluid Mech 16:99–137. doi:10.1146/annurev.fl.16.010184.000531 Rogers TM (2015) On the differential rotation of massive main-sequence stars. Astrophys J Lett 815:L30. doi:10.1088/2041-8205/815/2/L30. arXiv:1511.03809 Rogers TM, Glatzmaier GA (2005) Penetrative convection within the anelastic approximation. Astrophys J 620:432 Rogers TM, Glatzmaier GA (2006) Angular momentum transport by gravity waves in the solar interior. Astrophys J Suppl 653:756–764 Rogers TM, MacGregor KB (2010) On the interaction of internal gravity waves with a magnetic field–II. Convective forcing. Mon Not R Astron Soc 410:946–962 Rogers TM, Lin DNC, Lau HHB (2012) Internal gravity waves modulate the apparent misalignment of exoplanets around hot stars. Astrophys J Lett 758:L6. doi:10.1088/2041-8205/758/1/L6. arXiv:1209.2435 Rogers TM, Lin DNC, McElwaine JN, Lau HHB (2013) Internal gravity waves in massive stars: angular momentum transport. Astrophys J 772:21. doi:10.1088/0004-637X/772/1/21. arXiv:1306.3262 Romanova MM, Ustyugova GV, Koldoba AV, Wick JV, Lovelace RVE (2003) Three-dimensional simulations of disk accretion to an inclined dipole. I. Magnetospheric flows at different \(\varTheta \). Astrophys J 595:1009–1031. doi:10.1086/377514. arXiv:astro-ph/0401375 Rosén L, Kochukhov O, Wade GA (2015) First Zeeman Doppler imaging of a cool star using all four Stokes parameters. Astrophys J 805:169. doi:10.1088/0004-637X/805/2/169. arXiv:1504.00176 Rosner R, Golub L, Vaiana GS (1985) On stellar X-ray emission. Annu Rev Astron Astrophys 23:413–452. doi:10.1146/annurev.aa.23.090185.002213 Rosner R, Musielak ZE, Cattaneo F, Moore RL, Suess ST (1995) On the origin of ’dividing lines’ for late-type giants and supergiants. Astrophys J Lett 442:L25–L28. doi:10.1086/187807 Roxburgh IW (1993) Overshooting from convective cores: theory and numerical simulation. Space Sci Rev 66:299–308. doi:10.1007/BF00771080 Roxburgh LW, Simmons J (1993) Numerical studies of convective penetration in plane parallel layers and the integral constraint. Astron Astrophys 277:93 Rüdiger G, Elstner D, Ossendrijver M (2003) Do spherical \(\alpha ^{2}\)-dynamos oscillate? Astron Astrophys 406:15–21. doi:10.1051/0004-6361:20030738. arXiv:astro-ph/0212203 Rüdiger G, Kitchatinov LL, Elstner D (2012) Helicity and dynamo action in magnetized stellar radiation zones. Mon Not R Astron Soc 425:2267–2276. doi:10.1111/j.1365-2966.2012.21569.x. arXiv:1107.2548 Rüdiger G, Gellert M, Spada F, Tereshin I (2015) The angular momentum transport by unstable toroidal magnetic fields. Astron Astrophys 573:A80. doi:10.1051/0004-6361/201424060. arXiv:1404.4288 Rüdiger G, Schultz M, Kitchatinov LL (2016) Instability of magnetized and differentially rotating stellar radiation zones with high magnetic Mach number. Mon Not R Astron Soc 456:3004–3010. doi:10.1093/mnras/stv2838 Saar S (2002) Stellar dynamos: scaling laws and coronal connections. In: Favata F, Drake JJ (eds) Stellar Coronae in the Chandra and XMM-Newton Era, Astronomical Society of the Pacific, San Francisco, ASP conference series, vol 277, p 311 Saar SH (2001) Recent measurements of (and inferences about) magnetic fields on K and M stars (CD-ROM directory: contribs/saar1). In: García López RJ, Rebolo R, Zapaterio Osorio MR (eds) 11th Cambridge workshop on cool stars, stellar systems and the Sun, Astronomical Society of the Pacific, San Francisco, ASP conference series, vol 223, p 292 Saar SH (2011) Starspots, cycles, and magnetic fields. In: Prasad Choudhary D, Strassmeier KG (eds) The physics of Sun and star spots. IAU symposium, vol 273, pp 61–67. doi:10.1017/S1743921311015018 Saar SH, Brandenburg A (1999) Time evolution of the magnetic activity cycle period. II. Results for an expanded stellar sample. Astrophys J 524:295–310. doi:10.1086/307794 Saar SH, Brandenburg A (2002) A new look at dynamo cycle amplitudes. Astron Nachr 323:357–360. doi:10.1002/1521-3994(200208)323:3/4<357::AID-ASNA357>3.0.CO;2-I Sackmann IJ, Boothroyd AI (2003) Our Sun. V. A bright young Sun consistent with helioseismology and warm temperatures on ancient Earth and Mars. Astrophys J 583:1024–1039. doi:10.1086/345408. arXiv:astro-ph/0210128 Sagan C, Mullen G (1972) Earth and Mars: evolution of atmospheres and surface temperatures. Science 177:52–56. doi:10.1126/science.177.4043.52 Sakurai T (1985) Magnetic stellar winds: a 2-D generalization of the Weber-Davis model. Astron Astrophys 152:121–129 Salabert D, García RA, Beck PG, Egeland R, Pallé PL, Mathur S, Metcalfe TS, do Nascimento JD Jr, Ceillier T, Andersen MF, Triviño Hage A (2016a) Photospheric and chromospheric magnetic activity of seismic solar analogs. Observational inputs on the solar-stellar connection from Kepler and Hermes. Astron Astrophys 596:A31. doi:10.1051/0004-6361/201628583. arXiv:1608.01489 Salabert D, Régulo C, García RA, Beck PG, Ballot J, Creevey OL, Pérez Hernández F, do Nascimento JD Jr, Corsaro E, Egeland R, Mathur S, Metcalfe TS, Bigot L, Ceillier T, Pallé PL (2016b) Magnetic variability in the young solar analog KIC 10644253. Observations from the Kepler satellite and the HERMES spectrograph. Astron Astrophys 589:A118. doi:10.1051/0004-6361/201527978. arXiv:1603.00655 Sasaki Y, Takehiro Si, Kuramoto K, Hayashi YY (2011) Weak-field dynamo emerging in a rotating spherical shell with stress-free top and no-slip bottom boundaries. Phys Earth Planet Inter 188:203–213. doi:10.1016/j.pepi.2011.06.019 Saunders ES, Naylor T, Mayne N, Littlefair SP (2009) Pre-main-sequence variability across the radiative-convective gap. Mon Not R Astron Soc 397:405–410. doi:10.1111/j.1365-2966.2009.14936.x. arXiv:0905.0832 Scalo J, Kaltenegger L, Segura AG, Fridlund M, Ribas I, Kulikov YN, Grenfell JL, Rauer H, Odert P, Leitzinger M, Selsis F, Khodachenko ML, Eiroa C, Kasting J, Lammer H (2007) M stars as targets for terrestrial exoplanet searches and biosignature detection. Astrobiology 7:85–166. doi:10.1089/ast.2006.0125 Schad A, Timmer J, Roth M (2013) Global helioseismic evidence for a deeply penetrating solar meridional flow consisting of multiple flow cells. Astrophys J Lett 778:L38. doi:10.1088/2041-8205/778/2/L38. arXiv:1311.7623 Schatzman E (1962) A theory of the role of magnetic activity during star formation. Ann Astrophys 25:18 Schatzman EL, Praderie F (1990) Les etoiles. Interéditions; Editions du CNRS, Paris Schekochihin AA, Cowley SC, Taylor SF, Maron JL, McWilliams JC (2004) Simulations of the small-scale turbulent dynamo. Astrophys J 612:276–307. doi:10.1086/422547. arXiv:astro-ph/0312046 Schekochihin AA, Haugen NEL, Brandenburg A, Cowley SC, Maron JL, McWilliams JC (2005) The onset of a small-scale turbulent dynamo at low magnetic Prandtl numbers. Astrophys J Lett 625:L115–L118. doi:10.1086/431214. arXiv:astro-ph/0412594 Schmidt SJ, Hawley SL, West AA, Bochanski JJ, Davenport JRA, Ge J, Schneider DP (2015) BOSS ultracool dwarfs. I. Colors and magnetic activity of M and L dwarfs. Astron J 149:158. doi:10.1088/0004-6256/149/5/158. arXiv:1410.0014 Schmitt JHMM, Golub L, Harnden FR Jr, Maxson CW, Rosner R, Vaiana GS (1985) An Einstein observatory X-ray survey of main-sequence stars with shallow convection zones. Astrophys J 290:307–320. doi:10.1086/162986 Schrijver CJ (2001) Simulations of the photospheric magnetic activity and outer atmospheric radiative losses of cool stars based on characteristics of the solar magnetic field. Astrophys J 547:475–490. doi:10.1086/318333 Schrijver CJ (2002) Solar spots as prototypes for stellar spots. Astron Nachr 323:157–164. doi:10.1002/1521-3994(200208)323:3/4<157::AID-ASNA157>3.0.CO;2-Q Schrijver CJ, DeRosa ML (2003) Photospheric and heliospheric magnetic fields. Solar Phys 212:165–200. doi:10.1023/A:1022908504100 Schrijver CJ, Title AM (2001) On the formation of polar spots in Sun-like stars. Astrophys J 551:1099–1106. doi:10.1086/320237 Schrinner M (2013) Rotational threshold in global numerical dynamo simulations. Mon Not R Astron Soc 431:L78–L82. doi:10.1093/mnrasl/slt012. arXiv:1212.6910 Schrinner M, Petitdemange L, Dormy E (2012) Dipole collapse and dynamo waves in global direct numerical simulations. Astrophys J 752:121. doi:10.1088/0004-637X/752/2/121. arXiv:1202.4666 Schüssler M, Caligari P, Ferriz-Mas A, Solanki SK, Stix M (1996) Distribution of starspots on cool stars. I. Young and main sequence stars of \(1 M_{\odot }\). Astron Astrophys 314:503–512 Schwadron NA, McComas DJ (2003) Solar wind scaling law. Astrophys J 599:1395–1403. doi:10.1086/379541 See V, Jardine M, Vidotto AA, Donati JF, Folsom CP, Boro Saikia S, Bouvier J, Fares R, Gregory SG, Hussain G, Jeffers SV, Marsden SC, Morin J, Moutou C, do Nascimento JD, Petit P, Rosén L, Waite IA (2015) The energy budget of stellar magnetic fields. Mon Not R Astron Soc 453:4301–4310. doi:10.1093/mnras/stv1925. arXiv:1508.01403 See V, Jardine M, Vidotto AA, Donati JF, Boro Saikia S, Bouvier J, Fares R, Folsom CP, Gregory SG, Hussain G, Jeffers SV, Marsden SC, Morin J, Moutou C, do Nascimento JD, Petit P, Waite IA (2016) The connection between stellar activity cycles and magnetic field topology. Mon Not R Astron Soc 462:4442–4450. doi:10.1093/mnras/stw2010. arXiv:1610.03737 Shajn G, Struve O (1929) On the rotation of the stars. Mon Not R Astron Soc 89:222–239. doi:10.1093/mnras/89.3.222 Shapiro AI, Solanki SK, Krivova NA, Schmutz WK, Ball WT, Knaack R, Rozanov EV, Unruh YC (2014) Variability of Sun-like stars: reproducing observed photometric trends. Astron Astrophys 569:A38. doi:10.1051/0004-6361/201323086. arXiv:1406.2383 Shibata K, Magara T (2011) Solar flares: magnetohydrodynamic processes. Living Rev Solar Phys 8:lrsp-2011-6. doi:10.12942/lrsp-2011-6. http://www.livingreviews.org/lrsp-2011-6 Shiode JH, Quataert E (2014) Setting the stage for circumstellar interaction in core-collapse supernovae. II. Wave-driven mass loss in supernova progenitors. Astrophys J 780:96. doi:10.1088/0004-637X/780/1/96. arXiv:1308.5978 Silva-Valio A, Lanza AF, Alonso R, Barge P (2010) Properties of starspots on CoRoT-2. Astron Astrophys 510:A25. doi:10.1051/0004-6361/200911904. arXiv:0909.4055 Simard C, Charbonneau P, Dube C (2016) Characterisation of the turbulent electromotive force and its magnetically-mediated quenching in a global EULAG-MHD simulation of solar convection. ArXiv e-prints arXiv:1604.01533 Simitev RD, Busse FH (2009) Bistability and hysteresis of dipolar dynamos generated by turbulent convection in rotating spherical shells. Europhys Lett 85:19,001. doi:10.1209/0295-5075/85/19001. arXiv:0904.0799 Simitev RD, Kosovichev AG, Busse FH (2015) Dynamo effects near the transition from solar to anti-solar differential rotation. Astrophys J 810:80. doi:10.1088/0004-637X/810/1/80. arXiv:1504.07835 Skumanich A (1972) Time scales for Ca ii emission decay, rotational braking, and lithium depletion. Astrophys J 171:565. doi:10.1086/151310 Sokoloff D, Nesme-Ribes E (1994) The Maunder minimum: a mixed-parity dynamo mode? Astron Astrophys 288:293–298 Soon WH, Baliunas SL, Zhang Q (1993) An interpretation of cycle periods of stellar chromospheric activity. Astrophys J Lett 414:L33–L36. doi:10.1086/186989 Spiegel EA (1971) Convection in stars: I. Basic Boussinesq convection. Annu Rev. Astron Astrophys 9:323 Spiegel EA, Weiss NO (1980) Magnetic activity and variations in solar luminosity. Nature 287:616 Spite M, Spite F, Bonifacio P (2012) The cosmic lithium problem: an observer’s perspective. Mem Soc Astron Ital Suppl 22:9 arXiv:1208.1190 Spruit HC (1981) Equations for thin flux tubes in ideal MHD. Astron Astrophys 102:129–133 Spruit HC (1999) Differential rotation and magnetic fields in stellar interiors. Astron Astrophys 349:189 Spruit H (2000) Theory of solar irradiance variations. Space Sci Rev 94:113–126 Spruit HC (2002) Dynamo action by differential rotation in a stably stratified stellar interior. Astron Astrophys 381:923–932. doi:10.1051/0004-6361:20011465. arXiv:astro-ph/0108207 Spruit HC, Roberts B (1983) Magnetic flux tubes on the sun. Nature 304:401–406. doi:10.1038/304401a0 Spruit HC, van Ballegooijen AA (1982) Stability of toroidal flux tubes in stars. Astron Astrophys 106:58–66 Sreenivasan B, Jones CA (2006) The role of inertia in the evolution of spherical dynamos. Geophys J Int 164:467–476. doi:10.1111/j.1365-246X.2005.02845.x Stark CR, Helling C, Diver DA, Rimmer PB (2013) Ionization in atmospheres of brown dwarfs and extrasolar planets. V. Alfvén ionization. Astrophys J 776:11. doi:10.1088/0004-637X/776/1/11. arXiv:1308.2991 Starr VP, Gilman PA (1966) Hydromagnetic energy balance equations for the solar atmosphere. Pure Appl Geophys 64:145–155. doi:10.1007/BF00875540 Stassun KG, Kratter KM, Scholz A, Dupuy TJ (2012) An empirical correction for activity effects on the temperatures, radii, and estimated masses of low-mass stars and brown dwarfs. Astrophys J 756:47. doi:10.1088/0004-637X/756/1/47. arXiv:1206.4930 Steidel CC, Giavalisco M, Pettini M, Dickinson M, Adelberger KL (1996) Spectroscopic confirmation of a population of normal star-forming galaxies at redshifts \(Z > 3\). Astrophys J Lett 462:L17. doi:10.1086/310029. arXiv:astro-ph/9602024 Stein RF, Nordlund Å (2012) On the formation of active regions. Astrophys J Lett 753:L13. doi:10.1088/2041-8205/753/1/L13. arXiv:1207.4248 Steinhilber F, Abreu JA, Beer J, Brunner I, Christl M, Fischer H, Heikkila U, Kubik PW, Mann M, McCracken KG, Miller H, Miyahara H, Oerter H, Wilhelms F (2012) 9,400 years of cosmic radiation and solar activity from ice cores and tree rings. Proc Natl Acad Sci USA 109:5967–5971. doi:10.1073/pnas.1118965109 Stellmach S, Lischper M, Julien K, Vasil G, Cheng JS, Ribeiro A, King EM, Aurnou JM (2014) Approaching the asymptotic regime of rapidly rotating convection: boundary layers versus interior dynamics. Phys Rev Lett 113:254501. doi:10.1103/PhysRevLett.113.254501. arXiv:1409.7432 Stello D, Cantiello M, Fuller J, Huber D, García RA, Bedding TR, Bildsten L, Silva Aguirre V (2016) A prevalence of dynamo-generated magnetic fields in the cores of intermediate-mass stars. Nature 529:364–367. doi:10.1038/nature16171. arXiv:1601.00004 Stevenson DJ (1979) Turbulent thermal convection in the presence of rotation and a magnetic field: a heuristic theory. Geophys Astrophys Fluid Dyn 12:139–169. doi:10.1080/03091927908242681 Stibbs DWN (1950) A study of the spectrum and magnetic variable star HD 125248. Mon Not R Astron Soc 110:395. doi:10.1093/mnras/110.4.395 Stix M (1976) Differential rotation and the solar dynamo. Astron Astrophys 47:243–254 Strassmeier KG (1999) Doppler imaging of stellar surface structure. XI. The super starspots on the K0 giant HD 12545: larger than the entire Sun. Astron Astrophys 347:225–234 Strassmeier KG (2001) Latest results in Doppler imaging (CD-ROM Directory: contribs/strass1). In: García López RJ, Rebolo R, Zapaterio Osorio MR (eds) 11th Cambridge workshop on cool stars, stellar systems and the Sun, Astronomical Society of the Pacific, San Francisco, ASP conference series, vol 223, p 271 Strassmeier KG (2009) Starspots. Astron Astrophys Rev 17:251. doi:10.1007/s00159-009-0020-6 Strugarek A, Brun AS, Zahn JP (2011) Magnetic confinement of the solar tachocline: II. Coupling to a convection zone. Astron Astrophys 532:A34. doi:10.1051/0004-6361/201116518. arXiv:1107.3665 Strugarek A, Brun AS, Matt SP, Reville V, Donati JF, Moutou C, Fares R (2014) Modelling the corona of HD 189733 in 3D. In: Ballet J, Martins F, Bournaud F, Monier R, Reylé C (eds) SF2A-2014: Proceedings of the annual meeting of the French Society of Astronomy and Astrophysics, pp 279–284. arXiv:1411.2494 Strugarek A, Brun AS, Matt SP, Réville V (2015a) Magnetic games between a planet and its host star: the key role of topology. Astrophys J 815:111. doi:10.1088/0004-637X/815/2/111. arXiv:1511.02837 Strugarek A, Brun AS, Matt SP, Reville V (2015b) Numerical aspects of 3D stellar winds. In: van Belle GT, Harris HC (eds) 18th Cambridge workshop on cool stars, stellar systems, and the Sun, vol 18, pp 589–602. arXiv:1410.3537 Strugarek A, Beaudoin P, Charbonneau P, Brun AS, do Nascimento J-D (2017) Reconciling solar and stellar magnetic cycles with nonlinear dynamo simulations. Science 357:185–187. doi:10.1126/science.aal3999 Sun X, Hoeksema JT, Liu Y, Zhao J (2015) On polar magnetic field reversal and surface flux transport during solar cycle 24. Astrophys J 798:114. doi:10.1088/0004-637X/798/2/114. arXiv:1410.8867 Suzuki TK, Inutsuka Si (2006) Solar winds driven by nonlinear low-frequency Alfvén waves from the photosphere: parametric study for fast/slow winds and disappearance of solar winds. J Geophys Res 111:A06,101 Suzuki TK, Imada S, Kataoka R, Kato Y, Matsumoto T, Miyahara H, Tsuneta S (2013) Saturation of stellar winds from young Suns. Publ Astron Soc Jpn. doi:10.1093/pasj/65.5.98. arXiv:1212.6713 Svalgaard L, Schatten KH (2016) Reconstruction of the sunspot group number: the backbone method. Solar Phys. doi:10.1007/s11207-015-0815-8. arXiv:1506.00755 Takasao S, Fan Y, Cheung MCM, Shibata K (2015) Numerical study on the emergence of kinked flux tube for understanding of possible origin of \(\delta \)-spot regions. Astrophys J 813:112. doi:10.1088/0004-637X/813/2/112. arXiv:1511.02863 Talon S, Kumar P, Zahn JP (2002) Angular momentum extraction by gravity waves in the Sun. Astrophys J 574:L175–L178 Tarter JC, Backus PR, Mancinelli RL, Aurnou JM, Backman DE, Basri GS, Boss AP, Clarke A, Deming D, Doyle LR, Feigelson ED, Freund F, Grinspoon DH, Haberle RM, Hauck SA II, Heath MJ, Henry TJ, Hollingsworth JL, Joshi MM, Kilston S, Liu MC, Meikle E, Reid IN, Rothschild LJ, Scalo J, Segura A, Tang CM, Tiedje JM, Turnbull MC, Walkowicz LM, Weber AL, Young RE (2007) A reappraisal of the habitability of planets around M dwarf stars. Astrobiology 7:30–65. doi:10.1089/ast.2006.0124. arXiv:astro-ph/0609799 Tassoul JL (2000) Stellar rotation. Cambridge astrophysics series, vol 36. Cambridge University Press, Cambridge; New York Tayler RJ (1973) The adiabatic stability of stars containing magnetic fields–I. Toroidal fields. Mon Not R Astron Soc 161:365 Thompson C, Duncan RC (1993) Neutron star dynamos and the origins of pulsar magnetism. Astrophys J 408:194–217. doi:10.1086/172580 Thompson MJ, Toomre J, Anderson ER, Antia HM, Berthomieu G, Burtonclay D, Chitre SM, Christensen-Dalsgaard J, Corbard T, De Rosa M, Genovese CR, Gough DO, Haber DA, Harvey JW, Hill F, Howe R, Korzennik SG, Kosovichev AG, Leibacher JW, Pijpers FP, Provost J, Rhodes EJ Jr, Schou J, Sekii T, Stark PB, Wilson PR (1996) Differential rotation and dynamics of the solar interior. Science 272:1300–1305. doi:10.1126/science.272.5266.1300 Tobias SM (1997) The solar cycle: parity interactions and amplitude modulation. Astron Astrophys 322:1007–1017 Tobias SM (1998) Relating stellar cycle periods to dynamo calculations. Mon Not R Astron Soc 296:653–661. doi:10.1046/j.1365-8711.1998.01412.x Tobias SM, Cattaneo F (2008) Dynamo action in complex flows: the quick and the fast. J Fluid Mech 601:101–122. doi:10.1017/S002211200800044X Tobias SM, Cattaneo F (2013) Shear-driven dynamo waves at high magnetic Reynolds number. Nature 497:463–465. doi:10.1038/nature12177 Tobias SM, Brummell NH, Clune TL, Toomre J (2001) Transport and storage of magnetic field by overshooting turbulent compressible convection. Astrophys J 549:1183–1203. doi:10.1086/319448 Tobias SM, Cattaneo F, Brummell NH (2011) On the generation of organized magnetic fields. Astrophys J 728:153 Tokumaru M, Kojima M, Fujiki K (2010) Solar cycle evolution of the solar wind speed distribution from 1985 to 2008. J Geophys Res 115:A04102. doi:10.1029/2009JA014628 Toomre J (1993) Thermal convection and penetration. In: Zahn JP, Zinn-Justin J (eds) Astrophysical fluid dynamics (Dynamique des fluides astrophysiques). Elsevier, Amsterdam, pp 325–397 Toriumi S, Yokoyama T (2010) Two-step emergence of the magnetic flux sheet from the solar convection zone. Astrophys J 714:505–516. doi:10.1088/0004-637X/714/1/505. arXiv:1003.4718 Torres G (2013) Fundamental properties of lower main-sequence stars. Astron Nachr 334:4. doi:10.1002/asna.201211743. arXiv:1209.1279 Torres G, Ribas I (2002) Absolute dimensions of the M-type eclipsing binary YY Geminorum (Castor C): a challenge to evolutionary models in the lower main sequence. Astrophys J 567:1140 Townsend RHD, Owocki SP, Ud-Doula A (2007) A rigid-field hydrodynamics approach to modelling the magnetospheres of massive stars. Mon Not R Astron Soc 382:139–157. doi:10.1111/j.1365-2966.2007.12427.x. arXiv:0709.0694 Trampedach R, Stein RF, Christensen-Dalsgaard J, Nordlund Å, Asplund M (2014) Improvements to stellar structure models, based on a grid of 3D convection simulations - II. Calibrating the mixing-length formulation. Mon Not R Astron Soc 445:4366–4384. doi:10.1093/mnras/stu2084. arXiv:1410.1559 Tsuneta S, Ichimoto K, Katsukawa Y, Nagata S, Otsubo M, Shimizu T, Suematsu Y, Nakagiri M, Noguchi M, Tarbell T, Title A, Shine R, Rosenberg W, Hoffmann C, Jurcevich B, Kushner G, Levay M, Lites B, Elmore D, Matsushita T, Kawaguchi N, Saito H, Mikami I, Hill LD, Owens JK (2008) The solar optical telescope for the hinode mission: an overview. Solar Phys 249:167–196. doi:10.1007/s11207-008-9174-z. arXiv:0711.1715 Turck-Chièze S, Couvidat S, Piau L, Ferguson J, Lambert P, Ballot J, García RA, Nghiem P (2004) Surprising Sun: a new step towards a complete picture? Phys Rev Lett 93:211102. doi:10.1103/PhysRevLett.93.211102. arXiv:astro-ph/0407176 Usoskin IG (2013) A history of solar activity over millennia. Living Rev Solar Phys 10:lrsp-2013-1. doi:10.12942/lrsp-2013-1. http://www.livingreviews.org/lrsp-2013-1 Usoskin IG, Berdyugina SV, Moss D, Sokoloff DD (2007) Long-term persistence of solar active longitudes and its implications for the solar dynamo theory. Adv Space Res 40:951–958. doi:10.1016/j.asr.2006.12.050 Vaiana GS, Cassinelli JP, Fabbiano G, Giacconi R, Golub L, Gorenstein P, Haisch BM, Harnden FR Jr, Johnson HM, Linsky JL, Maxson CW, Mewe R, Rosner R, Seward F, Topka K, Zwaan C (1981) Results from an extensive Einstein stellar survey. Astrophys J 245:163–182. doi:10.1086/158797 Vainshtein SI, Cattaneo F (1992) Nonlinear restrictions on dynamo action. Astrophys J 393:165–171. doi:10.1086/171494 Valenti JA, Johns-Krull CM (2004) Observations of magnetic fields on T tauri stars. Astrophys Space Sci 292:619–629. doi:10.1023/B:ASTR.0000045068.34836.cf Valenti JA, Johns-Krull CM, Piskunov NE (2001) Using FeH to measure magnetic fields on cool stars and brown dwarfs (CD-ROM Directory: contribs/valenti). In: Garcia Lopez RJ, Rebolo R, Zapaterio Osorio MR (ed) 11th Cambridge workshop on cool stars, stellar systems and the Sun, Astronomical Society of the Pacific, San Francisco, ASP Conference Series, vol 223, p 1579 van Dokkum PG, Conroy C (2010) A substantial population of low-mass stars in luminous elliptical galaxies. Nature 468:940–942. doi:10.1038/nature09578. arXiv:1009.5992 van Saders JL, Pinsonneault MH (2013) Fast star, slow star; old star, young star: subgiant rotation as a population and stellar physics diagnostic. Astrophys J 776:67. doi:10.1088/0004-637X/776/2/67. arXiv:1306.3701 van Saders JL, Ceillier T, Metcalfe TS, Silva Aguirre V, Pinsonneault MH, García RA, Mathur S, Davies GR (2016) Weakened magnetic braking as the origin of anomalously rapid rotation in old field stars. Nature 529:181–184. doi:10.1038/nature16168. arXiv:1601.02631 Varela J, Strugarek A, Brun AS (2016) Characterizing the feedback of magnetic field on the differential rotation of solar-like stars. ArXiv e-prints arXiv:1608.02920 Vasil GM, Lecoanet D, Brown BP, Wood TS, Zweibel EG (2013) Energy conservation and gravity waves in sound-proof treatments of stellar interiors. II. Lagrangian constrained analysis. Astrophys J 773:169. doi:10.1088/0004-637X/773/2/169. arXiv:1303.0005 Viallet M, Meakin C, Arnett D, Mocák M (2013) Turbulent convection in stellar interiors. III. Mean-field analysis and stratification effects. Astrophys J 769:1. doi:10.1088/0004-637X/769/1/1. arXiv:1212.6365 Viallet M, Meakin C, Prat V, Arnett D (2015) Toward a consistent use of overshooting parametrizations in 1D stellar evolution codes. Astron Astrophys 580:A61. doi:10.1051/0004-6361/201526294. arXiv:1506.03100 Vidotto AA (2016) The magnetic field vector of the Sun-as-a-star. Mon Not R Astron Soc 459:1533–1542. doi:10.1093/mnras/stw758. arXiv:1603.09226 Vidotto AA, Opher M, Jatenco-Pereira V, Gombosi TI (2009) Three-dimensional numerical simulations of magnetized winds of solar-like stars. Astrophys J 699:441–452. doi:10.1088/0004-637X/699/1/441. arXiv:0904.4398 Vidotto AA, Gregory SG, Jardine M, Donati JF, Petit P, Morin J, Folsom CP, Bouvier J, Cameron AC, Hussain G, Marsden S, Waite IA, Fares R, Jeffers S, do Nascimento JD (2014a) Stellar magnetism: empirical trends with age and rotation. Mon Not R Astron Soc 441:2361–2374. doi:10.1093/mnras/stu728. arXiv:1404.2733 Vidotto AA, Jardine M, Morin J, Donati JF, Opher M, Gombosi TI (2014b) M-dwarf stellar winds: the effects of realistic magnetic geometry on rotational evolution and planets. Mon Not R Astron Soc 438:1162–1175. doi:10.1093/mnras/stt2265. arXiv:1311.5063 Vidotto AA, Donati JF, Jardine M, See V, Petit P, Boisse I, Boro Saikia S, Hébrard E, Jeffers SV, Marsden SC, Morin J (2016) Could a change in magnetic field geometry cause the break in the wind-activity relation? Mon Not R Astron Soc 455:L52–L56. doi:10.1093/mnrasl/slv147. arXiv:1509.08751 von Rekowski B, Brandenburg A (2006) Stellar dynamo driven wind braking versus disc coupling. Astron Nachr 327:53–71. doi:10.1002/asna.200510490. arXiv:astro-ph/0504053 Wade GA, Grunhut J, Alecian E, Neiner C, Aurière M, Bohlender DA, David-Uraz A, Folsom C, Henrichs HF, Kochukhov O, Mathis S, Owocki S, Petit V, Petit (2014) The magnetic characteristics of Galactic OB stars from the MiMeS survey of magnetism in massive stars. In: Petit P, Jardine M, Spruit HC (eds) Magnetic Fields throughout Stellar Evolution, IAU Symposium, vol 302, pp 265–269. doi:10.1017/S1743921314002233. arXiv:1310.3965 Walder R, Folini D, Meynet G (2012) Magnetic fields in massive stars, their winds, and their nebulae. Space Sci Rev 166:145–185. doi:10.1007/s11214-011-9771-2. arXiv:1103.3777 Walkowicz LM, Basri GS (2013) Rotation periods, variability properties and ages for Kepler exoplanet candidate host stars. Mon Not R Astron Soc 436:1883–1895. doi:10.1093/mnras/stt1700. arXiv:1309.2159 Walkowicz LM, Hawley SL (2009) Tracers of chromospheric structure. I. Observations of Ca II K and H\(\alpha \) in M dwarfs. Astron J 137:3297–3313. doi:10.1088/0004-6256/137/2/3297 Walkowicz LM, Hawley SL, West AA (2004) The \(\chi \) factor: determining the strength of activity in low-mass dwarfs. Publ Astron Soc Pac 116:1105–1110. doi:10.1086/426792 Walkowicz LM, Johns-Krull CM, Hawley SL (2008) Characterizing the near-UV environment of M dwarfs. Astrophys J 677:593–606. doi:10.1086/526421. arXiv:0711.1861 Wang Y, Nash AG, Sheeley NR Jr (1989a) Evolution of the Sun’s polar fields during sunspot cycle 21: poleward surges and long-term behavior. Astrophys J 347:529–539. doi:10.1086/168143 Wang YM, Sheeley NR Jr (2006) Sources of the solar wind at ulysses during 1990–2006. Astrophys J 653:708–718. doi:10.1086/508929 Wang YM, Sheeley NRJ (1990) Solar wind speed and coronal flux-tube expansion. Astrophys J 355:726–732 Wang YM, Nash AG, Sheeley NR Jr (1989b) Magnetic flux transport on the sun. Science 245:712–718. doi:10.1126/science.245.4919.712 Wang YM, Sheeley NR Jr, Nash AG (1991) A new solar cycle model including meridional circulation. Astrophys J 383:431–442. doi:10.1086/170800 Wargelin BJ, Drake JJ (2001) Observability of stellar winds from late-type dwarfs via charge exchange X-ray emission. Astrophys J Lett 546:L57–L60. doi:10.1086/318066 Warnecke J, Käpylä PJ, Mantere MJ, Brandenburg A (2013) Spoke-like differential rotation in a convective dynamo with a coronal envelope. Astrophys J 778:141. doi:10.1088/0004-637X/778/2/141. arXiv:1301.2248 Warnecke J, Käpylä PJ, Käpylä MJ, Brandenburg A (2014) On the cause of solar-like equatorward migration in global convective dynamo simulations. Astrophys J Lett 796:L12. doi:10.1088/2041-8205/796/1/L12. arXiv:1409.3213 Warnecke J, Rheinhardt M, Käpylä PJ, Käpylä MJ, Brandenburg A (2016) Turbulent transport coefficients in spherical wedge dynamo simulations of solar-like stars. ArXiv e-prints arXiv:1601.03730 Weber EJ, Davis L Jr (1967) The angular momentum of the solar wind. Astrophys J 148:217. doi:10.1086/149138 Weber MA, Browning MK (2016) Modeling the rise of fibril magnetic fields in fully convective stars. ArXiv e-prints arXiv:1606.00380 Weber MA, Fan Y, Miesch MS (2011) The rise of active region flux tubes in the turbulent solar convective envelope. Astrophys J 741:11. doi:10.1088/0004-637X/741/1/11. arXiv:1109.0240 Wei X, Goodman J (2015) On obliquely magnetized and differentially rotating stars. Astrophys J 806:50. doi:10.1088/0004-637X/806/1/50. arXiv:1501.04211 Weiss NO (1994) Solar and stellar dynamos. In: Proctor MRE, Gilbert AD (eds) Lectures on solar and planetary dynamos. Cambridge University Press, Cambridge, pp 59–95 Weiss NO, Tobias SM (2016) Supermodulation of the Sun’s magnetic activity: the effects of symmetry changes. Mon Not R Astron Soc 456:2654–2661. doi:10.1093/mnras/stv2769 West AA, Hawley SL, Walkowicz LM, Covey KR, Silvestri NM, Raymond SN, Harris HC, Munn JA, McGehee PM, Ivezić Ž, Brinkmann J (2004) Spectroscopic properties of cool stars in the sloan digital sky survey: an analysis of magnetic activity and a search for subdwarfs. Astron J 128:426–436. doi:10.1086/421364. arXiv:astro-ph/0403486 West AA, Bochanski JJ, Hawley SL, Cruz KL, Covey KR, Silvestri NM, Reid IN, Liebert J (2006) Using the galactic dynamics of M7 dwarfs to infer the evolution of their magnetic activity. Astron J 132:2507–2512. doi:10.1086/508652. arXiv:astro-ph/0609001 West AA, Weisenburger KL, Irwin J, Berta-Thompson ZK, Charbonneau D, Dittmann J, Pineda JS (2015) An activity-rotation relationship and kinematic analysis of nearby mid-to-late-type M dwarfs. Astrophys J 812:3. doi:10.1088/0004-637X/812/1/3. arXiv:1509.01590 Wheeler JC, Kagan D, Chatzopoulos E (2015) The role of the magnetorotational instability in massive stars. Astrophys J 799:85. doi:10.1088/0004-637X/799/1/85. arXiv:1411.5714 Wicht J (2002) Inner-core conductivity in numerical dynamo simulations. Phys Earth Planet Inter 132:281–302. doi:10.1016/S0031-9201(02)00078-X Williams PKG, Cook BA, Berger E (2014) Trends in ultracool dwarf magnetism. I. X-ray suppression and radio enhancement. Astrophys J 785:9. doi:10.1088/0004-637X/785/1/9. arXiv:1310.6757 Wilson OC (1978) Chromospheric variations in main-sequence stars. Astrophys J 226:379–396. doi:10.1086/156618 Wolff SC (1983) The A-stars: problems and perspectives. Monograph series on Nonthermal Phenomena in Stellar Atmospheres. NASA/CNRS Wood BE (2004) Astrospheres and solar-like stellar winds. Living Rev Solar Phys 1:lrsp-2004-2. doi:10.12942/lrsp-2004-2. http://www.livingreviews.org/lrsp-2004-2 Wood BE, Linsky JL (1998) The local ISM and its interaction with the winds of nearby late-type stars. Astrophys J 492:788–803. doi:10.1086/305077 Wood BE, Alexander WR, Linsky JL (1996) The properties of the local interstellar medium and the interaction of the stellar winds of \(\epsilon \) Indi and \(\lambda \) Andromedae with the interstellar environment. Astrophys J 470:1157. doi:10.1086/177939 Wood BE, Müller HR, Zank GP, Linsky JL (2002) Measured mass-loss rates of solar-like stars as a function of age and activity. Astrophys J 574:412–425. doi:10.1086/340797. arXiv:astro-ph/0203437 Wood BE, Linsky JL, Müller HR, Zank GP (2005) Inferences about the history of the solar wind from stellar wind measurements. In: Solar wind 11/SOHO 16 - connecting Sun and Heliosphere. ESA Special Publication, vol 592. ESA, Nordwijk Woosley SE (2010) Bright supernovae from magnetar birth. Astrophys J Lett 719:L204–L207. doi:10.1088/2041-8205/719/2/L204. arXiv:0911.0698 Wright GAE (1973) Pinch instabilities in magnetic stars. Mon Not R Astron Soc 162:339 Wright GAE (1974) The decay of magnetic fields in stars. Mon Not R Astron Soc 167:527–538. doi:10.1093/mnras/167.3.527 Wright JT, Marcy GW, Butler RP, Vogt SS (2004) Chromospheric Ca ii emission in nearby F, G, K, and M stars. Astrophys J Suppl 152:261–295. doi:10.1086/386283. arXiv:astro-ph/0402582 Wright NJ, Drake JJ (2016) Solar-type dynamo behaviour in fully convective stars without a tachocline. Nature 535:526–528. doi:10.1038/nature18638. arXiv:1607.07870 Wright NJ, Drake JJ, Mamajek EE, Henry GW (2011) The stellar-activity-rotation relationship and the evolution of stellar dynamos. Astrophys J 743:48. doi:10.1088/0004-637X/743/1/48. arXiv:1109.4634 Yadav RK, Christensen UR, Morin J, Gastine T, Reiners A, Poppenhaeger K, Wolk SJ (2015a) Explaining the coexistence of large-scale and small-scale magnetic fields in fully convective stars. Astrophys J Lett 813:L31. doi:10.1088/2041-8205/813/2/L31. arXiv:1510.05541 Yadav RK, Gastine T, Christensen UR, Reiners A (2015b) Formation of starspots in self-consistent global dynamo models: polar spots on cool stars. Astron Astrophys 573:A68. doi:10.1051/0004-6361/201424589. arXiv:1407.3187 Yeates AR, Nandy D, Mackay DH (2008) Exploring the physical basis of solar cycle predictions: flux transport dynamics and persistence of memory in advection- versus diffusion-dominated solar convection zones. Astrophys J 673:544–556. doi:10.1086/524352. arXiv:0709.1046 Yoshimura H (1975) Solar-cycle dynamo wave propagation. Astrophys J 201:740–748. doi:10.1086/153940 Zahn JP (1991) Convective penetration in stellar interiors. Astron Astrophys 252:179–188 Zahn JP (1992) Circulation and turbulence in rotating stars. Astron Astrophys 265:115–132 Zahn JP, Talon S, Matias J (1997) Angular momentum transport by internal waves in the solar interior. Astron Astrophys 322:320 Zahn JP, Brun AS, Mathis S (2007) On magnetic instabilities and dynamo action in stellar radiation zones. Astron Astrophys 474:145–154. doi:10.1051/0004-6361:20077653. arXiv:0707.3287 Zanni C, Ferreira J (2013) MHD simulations of accretion onto a dipolar magnetosphere. II. Magnetospheric ejections and stellar spin-down. Astron Astrophys 550:A99. doi:10.1051/0004-6361/201220168. arXiv:1211.4844 Zarka P (2007) Plasma interactions of exoplanets with their parent star and associated radio emissions. Planet Space Sci 55:598–617 Zhang M, Penev K (2014) Stars get dizzy after lunch. Astrophys J 787:131. doi:10.1088/0004-637X/787/2/131. arXiv:1404.4365 Zhao J, Bogart RS, Kosovichev AG, Duvall TL Jr, Hartlep T (2013) Detection of equatorward meridional flow and evidence of double-cell meridional circulation inside the Sun. Astrophys J Lett 774:L29. doi:10.1088/2041-8205/774/2/L29. arXiv:1307.8422