Abstract
I present a new method to test determinism, in particular the nonlinear behavior, in observed time series of pulsating stars, based on a recent prediction method which exploits the dynamical system theory. A method for filling gaps in data has thereby been constructed. Estimated bounds to the necessary embedding dimension can be obtained and chaotic divergences can be estimated.
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Casdagli, M., Des Jardins, D., Eubank S., et al.: 1991, Tech. Rep. LA-UR-91-1637 (Los Alamos Nat. Lab.)
Fahlman G. G. and Ulrych T. J.: 1982, Monthly Notices of the RAS 199, 53.
Farmer J. D. and Sidorowich J. J.: 1988, Tech. Rep. LA-UR-88-901 (Los Alamos Nat. Lab.).
Kostelich E. J. and Yorke J. A.: 1990, Phystca D 41, 183.
Kovács G. and Buchler J. R.: 1988, Astrophysical Journal 334, 971.
Serre, T., Auvergne, M., and Goupil, M. J.: 1992, Astronomy and Astrophysics, in press.
Serre T. and Buchler J. R.: 1992, in preparation.
Takens F.: 1981, in Dynamical System and Turbulence, eds. Rand D. and Young L. S. (Springer Lecture Notes in Mathematics 898, Berlin), p. 366.
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© 1993 Springer Science+Business Media Dordrecht
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Serre, T. (1993). Predicting Variable Star Light Curves. In: Takeuti, M., Buchler, JR. (eds) Nonlinear Phenomena in Stellar Variability. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1062-4_17
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DOI: https://doi.org/10.1007/978-94-011-1062-4_17
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