Patterns of aperiodic pulsation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Aperiodic Functions, Chaos, Perturbation Theory, Stellar Oscillations, Astrophysics, Asymptotes, Phase Transformations, Stellar Models

Scientific paper

Techniques for deriving amplitude equations for stellar pulsation are outlined. For the simplest such equations with multiple instabilities, the derivation of a map for the patterns of pulsation phases is described. This map gives the time between two successive maxima of pulsation in terms of the time between the previous pair, under suitable conditions. The phase differences can be regular, chaotic or hyperchaotic.

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