Nonlinear Properties of the Semiregular Variable Stars
Abstract
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.
Cite
@article{arxiv.astro-ph/0303046,
title = {Nonlinear Properties of the Semiregular Variable Stars},
author = {J. Robert Buchler and Zoltan Kollath},
journal= {arXiv preprint arXiv:astro-ph/0303046},
year = {2016}
}
Comments
8 pages to appear in "Mass-Losing Pulsating Stars and Their Circumstellar Matter", Eds. Y. Nakada & M.Honma, ASSL Ser. (in press). a version with better quality figures is available from http://www.phys.ufl.edu/~buchler/