Multimode stellar pulsations - II

Abstract

We apply the two time method to weakly anharmonic (nonlinear) stellar pulsations. The problem contains two small parameters: ε-the ratio of the dynamical and the thermal timescale and μ-the measure of the anharmonicity in the oscillator equation. The 0(e{open}0) system is solved up to 0(μ) by the use of an asymptotic perturbation method. This solution is then used within the framework of the two time method to obtain the slow evolution of the amplitudes and entropy. Both monomode and double-mode pulsations are treated in a non-resonance case. Show more