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
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Buchler, J. R. 1993, in Nonlinear Phenomena in Stellar Variability, Eds. M. Takeuti & J.R. Buchler (Kluwer: Dordrecht), repr. from ApSS 210, 1
Buchler, J. R., Kolláth, Z., Serre, T. & Mattei, J. 1996, ApJ, 462, 489
Buchler, J.R. & Kolláth, Z., 2001, “Nonlinear Analysis of Irregular Variables”, in Nonlinear Studies of Stellar Pulsation, Eds. M. Takeuti & D.D. Sasselov, ASS Libr. Ser., 257, 185 [http://xxx.lanl.gov/abs/astro-ph/0003341]
Buchler, J.R., Kolláth, Z. & Cadmus, R. 2002, Chaos in the Music of the Spheres, Proceedings of CHAOS 2001, Potsdam, Germany, (in press); [http://xxx.lanl.gov/abs/astro-ph/0106329]
Cohen, L. 1994, Time-Frequency Analysis. Prentice-Hall PTR. Englewood Cliffs, NJ
Kolláth Z., 1990, MNRAS 247, 377
Kolláth, Z. & Buchler, J.R. (1997), Time-Frequency Analysis of Variable Star Light Curves — in Nonlinear Signal and Image Analysis, Ann. NY Acad. Sci 808, 116
Kiss, L.L., Szatmary, K., Cadmus, R. R. & Mattei, J.A., 1999, A&A 346, 542
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Buchler, J.R., Kolláth, Z. (2003). Nonlinear Properties of the Semi-Regular Variable Stars. In: Nakada, Y., Honma, M., Seki, M. (eds) Mass-Losing Pulsating Stars and their Circumstellar Matter. Astrophysics and Space Science Library, vol 283. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0139-7_9
Download citation
DOI: https://doi.org/10.1007/978-94-010-0139-7_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3968-0
Online ISBN: 978-94-010-0139-7
eBook Packages: Springer Book Archive