A historical review of recurrence plots

The European Physical Journal Special Topics - Tập 164 Số 1 - Trang 3-12 - 2008
Norbert Marwan1,2
1Interdisciplinary Centre for Dynamics of Complex Systems, University of Potsdam
2Potsdam Institute for Climate Impact Research (PIK)

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C. Ahlstrom, P. Hult, P. Ask, Detection of the 3rd Heart Sound using Recurrence Time Statistics, Vol. 2 (2006), p. II1040

I. Aihara, S. Horai, H. Kitahata, K. Aihara, K. Yoshikawa, IEICE Trans. Fund. Electr. Comm. Comp. Sci. 90, 2154 (2007)

V. Balakrishnan, G. Nicolis, C. Nicolis, Phys. Rev. E 61, 2490 (2000)

M.C. Casdagli, Physica D 108, 12 (1997)

T. Chelidze, V. De Rubeis, T. Matcharashvili, P. Tosi, Ann. Geophys. 49, 961 (2006)

J. Chen, Y.-A. Li, D.-H. Wang, H. Gongcheng, D. Xuebao, J. Harbin, Eng. Univ. 27, 649 (2006)

J.M. Choi, B.H. Bae, S.Y. Kim, Phys. Lett. A 263, 299 (1999)

K.W. Church, J.I. Helfman, J. Comp. Graph. Stat. 2, 153 (1993)

E. Domany, Physica A 288, 1 (2000)

J.-P. Eckmann, S.O. Kamphorst, D. Ruelle, Europhys. Lett. 5, 973 (1987)

A.S. Elwakil, A.M. Soliman, Chaos, Solit. Fract. 10, 1399 (1999)

A. Facchini, H. Kantz, Phys. Rev. E 75, 036215 (2007)

A. Facchini, H. Kantz, E. Tiezzi, Phys. Rev. E 72, 021915 (2005)

A. Facchini, C. Mocenni, N. Marwan, A. Vicino, E. Tiezzi, Ecolog. Modell. 203, 339 (2007)

P. Faure, H. Korn, Physica D 122, 265 (1998)

J.B. Gao, H.Q. Cai, Phys. Lett. A 270, 75 (2000)

C.G. Gilmore, J. Business Finance Account. 23, 1357 (1996)

A. Giuliani, R. Benigni, P. Sirabella, J.P. Zbilut, A. Colosimo, Biophys. J. 78, 136 (2000)

A. Giuliani, R. Benigni, J.P. Zbilut, C.L. Webber Jr., P. Sirabella, A. Colosimo, Chem. Rev. 102, 1471 (2002)

Google Inc. Australia, Google gDay, http://www.google.com.au/intl/en/gday/

A. Groth, Phys. Rev. E 72, 046220 (2005)

S. Hermann, IEEE Trans. Inf. Technol. Biomed. 9, 392 (2005)

M. Hirata, B. Saussol, S. Vaienti, Commun. Math. Phys. 206, 33 (1999)

L. Holm, C. Sander, J. Molec. Biol. 233, 123 (1993)

S. Horai, T. Yamada K. Aihara, IEEE Trans. Inst. Elect. Eng. Jpn. C 122, 141 (2002)

M. Kac, Bull. Amer. Math. Soc. 53, 1002 (1947)

A. Krishnan, A. Giuliani, J.P. Zbilut, M. Tomita, PLoS ONE 3, 2149 (2008)

A. Krishnan, J.P. Zbilut, M. Tomita, A. Giuliani, Curr. Prot. Peptide Sci. 9, 28 (2008)

G. Krishnan, R.K. Kaul, P. Jagadeeswaran, Nucl. Acids Res. 14, 543 (1986)

J.B. Kruskal, Psychometr. 29, 1 (1964)

J.B. Kruskal, Time Warps, String Edits, and Macromolecules: The Theory and Practice of Sequence Comparison, edited by D. Sankoff, J.B. Kruskal (Addison-Wesley, Reading, Mass., 1983), p. 1

J. Kurths, U. Schwarz, C.P. Sonett, U. Parlitz, Nonlinear Proc. Geophys. 1, 72 (1994)

Q. Li, Sol. Phys. 249, 135 (2008)

G. Litak, T. Kamiński, J. Czarnigowski, D. Żbukowski, M. Wendeker, Meccanica 42, 423 (2007)

E.N. Lorenz, J. Atmosph. Sci. 20, 120 (1963)

P.C. Mahalanobis, Proc. Nation. Inst. Sci. 2, 49 (1936)

T.K. March, S.C. Chapman, R.O. Dendy, Physica D 200, 171 (2005)

N. Marwan, Untersuchung der Klimavariabilität in NW Argentinien mit Hilfe der quantitativen Analyse von Recurrence Plots, Master's thesis, Dresden University of Technology, Dresden University of Technology (1999)

N. Marwan, J. Kurths, Phys. Lett. A 302, 299 (2002)

N. Marwan, J. Kurths, Phys. Lett. A 336, 349 (2005)

N. Marwan, J. Kurths, P. Saparin, Phys. Lett. A 360, 545 (2007)

N. Marwan, M.C. Romano, M. Thiel, J. Kurths, Phys. Rep. 438, 237 (2007)

N. Marwan, M. Thiel, N.R. Nowaczyk, Nonl. Proc. Geophys. 9, 325 (2002)

N. Marwan, M.H. Trauth, M. Vuille, J. Kurths, Clim. Dyn. 21, 317 (2003)

N. Marwan, N. Wessel, U. Meyerfeldt, A. Schirdewan, J. Kurths, Phys. Rev. E 66, 026702 (2002)

M. Masugi, IEEE Trans. Circ. Syst. I: Fund. Theor. Appl. 53, 2318 (2006)

G. McGuire, N.B. Azar, M. Shelhamer, Phys. Lett. A 237, 43 (1997)

G.M. Mindlin, R. Gilmore, Physica D 58, 229 (1992)

E.J. Ngamga, A. Nandi, R. Ramaswamy, M.C. Romano, M. Thiel, J. Kurths, Phys. Rev. E 75, 036222 (2007)

J. Ningde, Z. Guibo, D. Fang, C. Wanpeng, Lect. Notes Comp. Sci. 4223, 1213 (2006)

H. Poincaré, Acta Math. 13, 1 (1890)

I. Procaccia, S. Thomae, C. Tresser, Phys. Rev. A 35, 1884 (1987)

A. Provenzale, L.A. Smith, R. Vio, G. Murante, Physica D 58, 31 (1992)

G.K. Rohde, J.M. Nichols, B.M. Dissinger, F. Bucholtz, Physica D 237, 619 (2008)

M.C. Romano, M. Thiel, J. Kurths, AIP Conf. Proc. 742, 330 (2004)

M.C. Romano, M. Thiel, J. Kurths, C. Grebogi, Phys. Rev. E 76, 036211 (2007)

M.C. Romano, M. Thiel, J. Kurths, I.Z. Kiss, J. Hudson, Europhys. Lett. 71, 466 (2005)

M.C. Romano, M. Thiel, J. Kurths, W. von Bloh, Phys. Lett. A 330, 214 (2004)

M. Rustici, C. Caravati, E. Petretto, M. Branca, N. Marchettini, J. Phys. Chem. A 103, 6564 (1999)

H. Sakoe, S. Chiba, IEEE Trans. Acoust., Speech, Sign. Proc. 26, 43 (1978)

S. Schinkel, N. Marwan, J. Kurths, Cognitive Neurodyn. 1, 317 (2007)

A.K. Sen, R. Longwic, G. Litak, K. Górski, Mech. Syst. Sign. Proc. 22, 362 (2008)

M. Thiel, M.C. Romano, J. Kurths, Appl. Nonl. Dyn. 11, 20 (2003)

M. Thiel, M.C. Romano, J. Kurths, Phys. Lett. A 330, 343 (2004)

M. Thiel, M.C. Romano, J. Kurths, Nonl. Dyn. 44, 299 (2006)

M. Thiel, M.C. Romano, J. Kurths, R. Meucci, E. Allaria, F.T. Arecchi, Physica D 171, 138 (2002)

M. Thiel, M.C. Romano, J. Kurths, M. Rolfs, R. Kliegl, Phil. Trans. Royal Soc. A 366, 545 (2008)

M. Thiel, M.C. Romano, P.L. Read, J. Kurths, Chaos 14, 234 (2004)

L.L. Thurstone, Psychol. Rev. 34, 273 (1927)

L.L. Trulla, A. Giuliani, J.P. Zbilut, C.L. Webber Jr., Phys. Lett. A 223, 255 (1996)

T. Živković, K. Rypdal, Phys. Rev. E 77, 037401 (2008)

D. Vretenar, N. Paar, P. Ring, G.A. Lalazissis, Phys. Rev. E 60, 308 (1999)

C.L. Webber Jr., A. Giuliani, J.P. Zbilut, A. Colosimo, Proteins: Struct. Funct. Genet. 44, 292 (2001)

C.L. Webber Jr., J.P. Zbilut, J. Appl. Phys. 76, 965 (1994)

J.-M. Zaldívar, F. Strozzi, S. Dueri, D. Marinov, J.P. Zbilut, Ecolog. Modell. 210, 58 (2008)

J.P. Zbilut, A. Giuliani, C.L. Webber Jr., Phys. Lett. A 267, 174 (2000)

J.P. Zbilut, A. Giuliani, C.L. Webber Jr., Phys. Lett. A 246, 122 (1998)

J.P. Zbilut, M. Koebbe, H. Loeb, G. Mayer-Kress, Proceedings of the IEEE Conference on Computers in Cardiology, Chicago, 1990 (IEEE Comp. Soc. Press, 1990), p. 263

J.P. Zbilut, J.C. Mitchell, A. Giuliani, N. Marwan, C.L. Webber Jr., Physica A 343, 348 (2004)

J.P. Zbilut, C.L. Webber Jr., Phys. Lett. A 171, 199 (1992)

J.P. Zbilut, C.L. Webber Jr., Int. J. Bifurc. Chaos 17, 3477 (2007)

N.V. Zolotova, D.I. Ponyavin, Astron. Astrophys. 449, L1 (2006)

Y. Zou, D. Pazó, M.C. Romano, M. Thiel, J. Kurths, Phys. Rev. E 76, 016210 (2007)

Y. Zou, M. Thiel, M.C. Romano, J. Kurths, Chaos 17, 043101 (2007)