Mode selection in pulsating stars

Abstract

In this review we focus on non-linear phenomena in pulsating stars the mode selection and amplitude limitation. Of many linearly excited modes only a fraction is detected in pulsating stars. Which of them and why (the problem of mode selection) and to what amplitude (the problem of amplitude limitation) are intrinsically non-linear and still unsolved problems. Tools for studying these problems are briefly discussed and our understanding of mode selection and amplitude limitation in selected groups of self-excited pulsators is presented. Focus is put on classical pulsators (Cepheids and RR Lyrae stars) and main sequence variables (delta Scuti and beta Cephei stars). Directions of future studies are briefly discussed.

8 pages, 2 figures, invited review, to appear in the conference proceedings of IAU Symp. 301 "Precision Asteroseismology, Celebration of the Scientific Opus of Wojtek Dziembowski", Wroclaw, Poland, August 2013

References in corpus (6)

• Non-linear modelling of beat Cepheids: Resonant and non-resonant models
• An asteroseismic study of the Delta Scuti star 44 Tau
• Radial Stellar Pulsation and Three-Dimensional Convection. II. Two-Dimensional Convection In Full Amplitude Radial Pulsation
• Amplitude Saturation in Beta Cephei Models
• The State of Cepheid Pulsation Theory
• Double-mode Cepheids in M31

Cited by in corpus (4)

• Stellar oscillations. II The non-adiabatic case
• The extraordinary frequency pattern variation in δ Scuti stars
• RR Lyrae mode switching in globular cluster M 68 (NGC 4590)
• Toward a Comprehensive Grid of Cepheid Models with MESA. III. Evolutionary and Pulsation Relations for Models with Core and Envelope Overshooting