Nonlinear Properties of the Semiregular Variable Stars

Details Nonlinear Properties of the Semiregular Variable Stars Nonlinear Properties of the Semiregular Variable Stars

2003-03-03

arxiv.org/abs/astro-ph/0303046v1

Astronomy and Astrophysics

Astrophysics

8 pages to appear in "Mass-Losing Pulsating Stars and Their Circumstellar Matter", Eds. Y. Nakada & M.Honma, ASSL Ser. (in pre

Scientific paper

We demonstrate how, with a purely empirical analysis of the irregular lightcurve data, one can extract a great deal of information about the stellar pulsation mechanism. An application to R Sct thus shows that the irregular lightcurve is the result of the nonlinear interaction of two highly nonadiabatic pulsation modes, namely a linearly unstable, low frequency mode, and the second mode that, although linearly stable, gets entrained through a 2:1 resonance. In the parlance of nonlinear dynamics the pulsation is the result of a 4 dimensional chaotic dynamics.

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