Practical method for determining the minimum embedding dimension of a scalar time series

Physica D: Nonlinear Phenomena - Tập 110 - Trang 43-50 - 1997
Liangyue Cao1
1Department of Mathematics, University of Western Australia, Nedlands, WA 6907, Australia

Tài liệu tham khảo

Takens, 1981, Vol. 898, 366 Sauer, 1991, J. Stat. Phys., 65, 579, 10.1007/BF01053745 Ott, 1994 Grassberger, 1983, Phys. Rev. Lett., 50, 346, 10.1103/PhysRevLett.50.346 Broomhead, 1986, Physica D, 20, 217, 10.1016/0167-2789(86)90031-X Mees, 1987, Phys. Rev. A, 36, 340, 10.1103/PhysRevA.36.340 Kennel, 1992, Phys. Rev. A, 45, 3403, 10.1103/PhysRevA.45.3403 Kaplan, 1992, Phys. Rev. Lett., 68, 427, 10.1103/PhysRevLett.68.427 Albano, 1988, Phys. Rev. A, 38, 3017, 10.1103/PhysRevA.38.3017 Abarbanel, 1993, Rev. Mod. Phys., 65, 1331, 10.1103/RevModPhys.65.1331 Fraser, 1986, Phys. Rev. A, 33, 1134, 10.1103/PhysRevA.33.1134 Liebert, 1989, Phys. Lett. A, 142, 107, 10.1016/0375-9601(89)90169-2 Hénon, 1976, Commun. Math. Phys., 50, 69, 10.1007/BF01608556 Ikeda, 1979, Opt. Commun., 30, 257, 10.1016/0030-4018(79)90090-7 Hammel, 1985, J. Opt. Soc. Amer., 2 B, 552, 10.1364/JOSAB.2.000552 Lorenz, 1963, J. Atmospheric Sci., 20, 130, 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 Mackey, 1977, Science, 197, 287, 10.1126/science.267326 Farmer, 1982, Physica D, 4, 366, 10.1016/0167-2789(82)90042-2 Eckmann, 1985, Rev. Modern Phys., 57, 617, 10.1103/RevModPhys.57.617 Casdagli, 1989, Physica D, 35, 335, 10.1016/0167-2789(89)90074-2 Ding, 1993, Physica D, 69, 404, 10.1016/0167-2789(93)90103-8 Weigend, 1994