Nonlinear oscillations in one-zone stellar model.

Physics

Scientific paper

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Stellar Models: Oscillations, Stellar Models: Pulsating Stars

Scientific paper

If one-zone models are available for some pulsating stars and the motion remains close to adiabaticity, the oscillation and stability criterion of the star have been analyzed by canonical perturbation theory and optimal control theory. When the adiabatic exponent Γ1 is greater than or equal to 4/3, the periodic oscillation should occur in one-zone stellar model; when Γ1 is less than 4/3, and under an additional condition, the periodic oscillation could not occur in this model.

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