Characterization of intermittent chaos and oscillating frequencies in some pulsating stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Chaos, Free Vibration, Frequencies, Power Spectra, Stellar Models, Stellar Structure, Variable Stars, White Dwarf Stars, Adiabatic Conditions, Stellar Interiors, Supergiant Stars

Scientific paper

If one-zone models are available for some pulsating stars and the motion remains close to adiabaticity, we show the existence of odd frequencies in the power spectrum of these pulsating variable stars, and the frequency of free oscillation thus becomes dependent on the amplitude. We find 3(omega) appearing in the power spectrum of the white dwarf PG 1351+489. Furthermore, the intrinsic stochasticity in the basic equations describing the structure of stars is discussed in this paper. We found that the pulsation of intermittent chaos can occur spontaneously in the basic equations of a star within certain intervals of values of its control parameters, and the intermittency can be used as an interpretation of pulsation in variable stars.

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