Estimating fractal dimension

James Theiler1
1Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, Massachusetts 02173-9108, USA

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Tài liệu tham khảo

Sander, 1987, Sci. Am., 256, 94, 10.1038/scientificamerican0187-94

Sander, 1986, Nature (London), 322, 789, 10.1038/322789a0

Nittman, 1985, Nature (London), 314, 141, 10.1038/314141a0

Niemeyer, 1984, Phys. Rev. Lett., 52, 1033, 10.1364/JOSAB.5.001037

Wong, 1988, Phys. Today, 41, 24, 10.1063/1.881138

Witten, 1981, Phys. Rev. Lett., 47, 1400, 10.1103/PhysRevLett.47.1400

Barnsley, 1985, Proc. R. Soc. London Ser. A, 399, 243, 10.1098/rspa.1985.0057

Hurd, 1988, Am. J. Phys., 56, 969, 10.1119/1.15761

Kadanoff, 1986, Phys. Today, 39, 6, 10.1063/1.2814878

Dubuc, 1989, Phys. Rev. A, 39, 1500, 10.1103/PhysRevA.39.1500

Hammel, 1985, J. Opt. Soc. Am. B, 2, 552, 10.1364/JOSAB.2.000552

Hénon, 1976, Commun. Math. Phys., 50, 69, 10.1007/BF01608556

Eckmann, 1985, Rev. Mod. Phys., 57, 617, 10.1103/RevModPhys.57.617

Wolf, 1985, Physica, 16D, 285

Eckmann, 1986, Phys. Rev. A, 34, 4971, 10.1103/PhysRevA.34.4971

Stoop, 1988, J. Opt. Soc. Am. B, 5, 1037, 10.1364/JOSAB.5.001037

Grassberger, 1983, Phys. Rev. A, 28, 2591, 10.1103/PhysRevA.28.2591

Cohen, 1985, Phys. Rev. A, 31, 1872, 10.1103/PhysRevA.31.1872

Eckmann, 1986, Phys. Rev. A, 34, 659, 10.1103/PhysRevA.34.659

Szépfalusy, 1987, Phys. Rev. A, 35, 477, 10.1103/PhysRevA.35.477

Packard, 1980, Phys. Rev. Lett., 45, 712, 10.1103/PhysRevLett.45.712

Fraser, 1986, Phys. Rev. A, 33, 1134, 10.1103/PhysRevA.33.1134

Broomhead, 1986, Physica, 20D, 217

Sato, 1987, Prog. Theor. Phys., 77, 1, 10.1143/PTP.77.1

Mees, 1987, Phys. Rev. A, 36, 340, 10.1103/PhysRevA.36.340

Albano, 1988, Phys. Rev. A, 38, 3017, 10.1103/PhysRevA.38.3017

Fraser, 1989, Physica, 34D, 391

Hausdorff, 1919, Math. Annalen, 79, 157, 10.1007/BF01457179

Farmer, 1983, Physica, 7D, 153

Hentschel, 1983, Physica, 8D, 435

Grassberger, 1983, Phys. Lett. A, 97, 227, 10.1016/0375-9601(83)90753-3

Paladin, 1987, Phys. Rep., 156, 147, 10.1016/0370-1573(87)90110-4

Halsey, 1986, Phys. Rev. A, 33, 1141, 10.1103/PhysRevA.33.1141

Sakar, 1987, Phys. Rev. A, 36, 4104, 10.1103/PhysRevA.36.4104

Jensen, 1985, Phys. Rev. Lett., 55, 2798, 10.1103/PhysRevLett.55.2798

Gwinn, 1987, Phys. Rev. Lett., 59, 157, 10.1103/PhysRevLett.59.157

Glazier, 1988, Phys. Rev. A, 37, 523, 10.1103/PhysRevA.37.523

Feigenbaum, 1986, Phys. Rev. Lett., 57, 1503, 10.1103/PhysRevLett.57.1503

Katzen, 1987, Phys. Rev. Lett., 58, 1169, 10.1103/PhysRevLett.58.1169

Jensen, 1987, Phys. Rev. A, 36, 1409, 10.1103/PhysRevA.36.1409

Bohr, 1987, Phys. Rev. A, 36, 4904, 10.1364/JOSAB.5.001020

Greenside, 1982, Phys. Rev. A, 25, 3453, 10.1103/PhysRevA.25.3453

Grassberger, 1988, J. Stat. Phys., 51, 135, 10.1007/BF01015324

Grassberger, 1983, Phys. Rev. Lett., 50, 346, 10.1109/TPAMI.1979.4766873

Grassberger, 1983, Physica, 9D, 189

Grassberger, 1988, Phys. Lett. A, 128, 369, 10.1016/0375-9601(88)90193-4

Theiler, 1986, Phys. Rev. A, 34, 2427, 10.1103/PhysRevA.34.2427

Pawelzik, 1987, Phys. Rev. A, 35, 481, 10.1103/PhysRevA.35.481

Atmanspacher, 1988, Phys. Rev. A, 37, 1314, 10.1103/PhysRevA.37.1314

Termonia, 1983, Phys. Rev. Lett., 51, 1265, 10.1103/PhysRevLett.51.1265

Guckenheimer, 1983, Phys. Rev. Lett., 51, 1483, 10.1103/PhysRevLett.51.1438

Badii, 1985, J. Stat. Phys., 40, 725, 10.1007/BF01009897

Grassberger, 1985, Phys. Lett. A, 107, 101, 10.1016/0375-9601(85)90724-8

Broggi, 1988, J. Opt. Soc. Am. B, 5, 1020, 10.1364/JOSAB.5.001020

van de Water, 1988, Phys. Rev. A, 37, 3118, 10.1103/PhysRevA.37.3118

Badii, 1988, Phys. Lett. A, 131, 339, 10.1016/0375-9601(88)90784-0

Pettis, 1979, IEEE Trans. Pattern Anal. Mach. Intell., PAMI1, 25, 10.1109/TPAMI.1979.4766873

Fredrickson, 1983, J. Diff, Eq., 49, 185, 10.1016/0022-0396(83)90011-6

Farmer, 1982, Physica, 4D, 366

Ikeda, 1986, J. Stat. Phys., 44, 955, 10.1007/BF01011917

Badii, 1987, Phys. Rev. A, 35, 1288, 10.1103/PhysRevA.35.1288

Auerbach, 1987, Phys. Rev. Lett., 58, 2387, 10.1103/PhysRevLett.58.2387

Gunarante, 1987, Phys. Rev. Lett., 59, 1377, 10.1103/PhysRevLett.59.1377

Auerbach, 1988, Phys. Rev. A, 37, 2234, 10.1103/PhysRevA.37.2234

Grebogi, 1987, Phys. Rev. A, 36, 3522, 10.1103/PhysRevA.36.3522

Grebogi, 1988, Phys. Rev. A, 37, 1711, 10.1103/PhysRevA.37.1711

Fukunaga, 1971, IEEE Trans. Comput., C20, 176, 10.1109/T-C.1971.223208

Froehling, 1981, Physica, 3D, 605

Broomhead, 1987, J. Phys. A, 20, L563, 10.1088/0305-4470/20/9/003

Cenys, 1988, Phys. Lett. A, 129, 227, 10.1016/0375-9601(88)90355-6

Passamante, 1989, Phys. Rev. A, 39, 3640, 10.1103/PhysRevA.39.3640

Namajunas, 1988, Phys. Lett. A, 131, 85, 10.1016/0375-9601(88)90661-5

Destexhe, 1988, Phys. Lett. A, 132, 101, 10.1016/0375-9601(88)90262-9

Farmer, 1987, Phys. Rev. Lett., 59, 845, 10.1103/PhysRevLett.59.845

Russell, 1980, Phys. Rev. Lett., 45, 1175, 10.1103/PhysRevLett.45.1175

Grassberger, 1983, Phys. Lett. A, 97, 224, 10.1016/0375-9601(83)90752-1

McGuinness, 1985, Physica, 16D, 265

Chhabra, 1989, Phys. Rev. Lett., 69, 1327, 10.1103/PhysRevLett.62.1327

Ellner, 1988, Phys. Lett. A, 113, 128, 10.1016/0375-9601(88)90772-4

Theiler, 1988, Phys. Lett. A, 133, 195, 10.1016/0375-9601(88)91016-X

Theiler, 1987, Phys. Rev. A, 36, 4456, 10.1103/PhysRevA.36.4456

Bingham, 1989, Phys. Lett. A, 140, 327, 10.1016/0375-9601(89)90629-4

Franaszek, 1989, Phys. Rev. A, 39, 5540, 10.1103/PhysRevA.39.5440

Moon, 1986, Phys. Lett. A, 114, 222, 10.1016/0375-9601(86)90211-2

Grassberger, 1986, Nature (London), 323, 609, 10.1038/323609a0

Osborne, 1989, Physica, 35D, 357

Brandstater, 1987, Phys. Rev. A, 35, 2207, 10.1103/PhysRevA.35.2207

Abraham, 1986, Phys. Lett. A, 114, 217, 10.1038/scientificamerican1286-46

Havstad, 1989, Phys. Rev. A, 39, 845, 10.1103/PhysRevA.39.845

Ramsey, 1989, Phys. Lett. A, 134, 287, 10.1016/0375-9601(89)90638-5

Badii, 1988, Phys. Rev. Lett., 60, 979, 10.1103/PhysRevLett.60.979

Mitschke, 1988, Phys. Rev. A, 37, 4518, 10.1103/PhysRevA.37.4518

Kostelich, 1988, Phys. Rev. A, 38, 1649, 10.1103/PhysRevA.38.1649

Möller, 1989, Phys. Lett. A, 138, 176, 10.1016/0375-9601(89)90023-6

Smith, 1988, Phys. Lett. A, 133, 283, 10.1016/0375-9601(88)90445-8

Mandlebrot, 1979, C. R. Acad. Sci. A, 288, 81

Gefen, 1983, Phys. Rev. Lett., 50, 145, 10.1103/PhysRevLett.50.145

Gefen, 1984, J. Phys. A, 17, 1277, 10.1088/0305-4470/17/6/024

Badii, 1984, Phys. Lett. A, 104, 303, 10.1016/0375-9601(84)90801-6

Smith, 1986, Phys. Lett. A, 114, 465, 10.1016/0375-9601(86)90695-X

Arneodo, 1987, Phys. Lett. A, 124, 426, 10.1016/0375-9601(87)90546-9

Bessis, 1987, Phys. Rev. A, 36, 20, 10.1103/PhysRevA.36.920

Parker, 1987, Proc. IEEE, 75, 982, 10.1109/PROC.1987.13845

Shaw, 1981, Z. Naturforsch., 36a, 80, 10.1515/zna-1981-0115

Crutchfield, 1986, Sci. Am., 255, 46, 10.1038/scientificamerican1286-46

Ott, 1981, Rev. Mod. Phys., 53, 655, 10.1103/RevModPhys.53.655

Abraham, 1984, Physica, 11D, 252