Multimode stellar pulsations. III - Resonances

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Resonance, Stellar Oscillations, Asymptotic Methods, Linear Equations, Periodic Variations, Propagation Modes

Scientific paper

The treatment of resonances is included in the formalism of multitime asymptotic techniques previously devised to treat stellar pulsation with a slow evolution in the absence of resonances. The evolution can be followed toward and through a resonance, and the effects of resonances can be investigated. The technique is illustrated by a simple example, and various aspects which may be relevant to stellar pulsation are discussed.

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