An oscillator model for stellar variability

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Oscillators, Stellar Models, Stellar Oscillations, Variable Stars, Chaos, Coupled Modes, Liapunov Functions, Nonlinearity

Scientific paper

The dependence of coupling constants in a coupled oscillator model is
examined with simplified methods. The Lyapunov exponents are preliminary
introduced for the model. The behaviors of oscillator model are examined
in a parameter plane. So-called the Arnold's tongues for phase-locking
states are observed in fractal patterns.

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