Application of two-time methods in stellar pulsations

Physics

Scientific paper

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Cepheid Variables, Pulses, Stellar Evolution, Stellar Models, Asymptotic Methods, Eigenvectors, Nonadiabatic Conditions

Scientific paper

The method of two time expansions is extended to include the effects of the outer, nonadiabatic layers in stellar pulsation. The evolution of pulsating stellar models can be examined, including the approach to limit cycle behavior. The method is demonstrated by a calculation of the eigenvectors for a beta Cepheid model. It is argued that the method is promising as a practical tool for treating the approach to limiting oscillations, as well as resonant and multimode behavior.

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