Predicting Variable Star Light Curves
- 56 Downloads
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.
KeywordsLight Curve Chaotic Attractor Dynamical System Theory Stochastic Perturbation Observe Time Series
Unable to display preview. Download preview PDF.
- Casdagli, M., Des Jardins, D., Eubank S., et al.: 1991, Tech. Rep. LA-UR-91-1637 (Los Alamos Nat. Lab.)Google Scholar
- Farmer J. D. and Sidorowich J. J.: 1988, Tech. Rep. LA-UR-88-901 (Los Alamos Nat. Lab.).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