Multimode stellar pulsations. II - Anharmonic oscillations

Astronomy and Astrophysics – Astrophysics

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Astrophysics, Stellar Oscillations, Entropy, Harmonic Oscillation, Nonlinear Equations, Periodic Functions, Perturbation Theory, Time Response, Vibration Mode

Scientific paper

The two time method is applied to weakly anharmonic (nonlinear) stellar pulsations. The problem contains two small parameters: epsilon, the ratio of the dynamical and the thermal timescale and mu, the measure of the anharmonicity in the oscillator equation. 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 nonresonance case.

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