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Predicting Variable Star Light Curves

Published online by Cambridge University Press:  12 April 2016

T. Serre
T. Serre*
Affiliation:
DASGAL, Observatory of Parts-Meudon, URA CNRS 335, F-92195 Meudon, France

Abstract

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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.

Type
II. Observational Facts
Information
International Astronomical Union Colloquium , Volume 134: Nonlinear Phenomena in Stellar Variability , 1993 , pp. 145 - 147
Copyright
Copyright © Kluwer 1993

References

Casdagli, M., Des Jardins, D., Eubank, S., et al.: 1991, Tech. Rep. LA-UR-91-1637 (Los Alamos Nat. Lab.)Google Scholar
Fahlman, G.G. and Ulrych, T.J.: 1982, Monthly Notices of the RAS 199, 53.Google Scholar
Farmer, J.D. and Sidorowich, J.J.: 1988, Tech. Rep. LA-UR-88-901 (Los Alamos Nat.Lab.)Google Scholar
Kostelich, E.J. and Yorke, J.A.: 1990, Physica D 41, 183.CrossRefGoogle Scholar
Kovács, G. and Buchler, J.R.: 1988, Astrophysical Journal 334, 971.Google Scholar
Serre, T., Auvergne, M., and Goupil, M.J.: 1992, Astronomy and Astrophysics, in press.Google Scholar
Serre, T. and Buchler, J.R.: 1992, in preparation.Google Scholar
Takens, F.: 1981, in Dynamical System and Turbulence, eds. Rand, D. and Young, L.S.(Springer Lecture Notes in Mathematics 898, Berlin), p. 366.Google Scholar