A dynamical instability as a driving mechanism for stellar oscillations

Details A dynamical instability as a driving mechanism for stellar oscillations A dynamical instability as a driving mechanism for stellar oscillations

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...142..388a&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 142, no. 2, Jan. 1985, p. 388-392.

Astronomy and Astrophysics

Astrophysics

27

Dynamic Stability, Ionization, Light Curve, Stellar Oscillations, White Dwarf Stars, Differential Equations, Fourier Law, Helium, Nonlinear Equations, Variable Stars

Scientific paper

Nonlinear effects in some cases lead to overstable pseudo periodic, irregular or even chaotic motions in dynamical systems, where catastrophic ones (i.e. dynamical instabilities) are expected from the linear theory. In a rough approximation, the motion of an ionization zone in a star is described by a simple nonlinear differential equation. This equation, analogous to the one obtained by Moore and Spiegel (1966) in the treatment of radiating convective elements, exhibits behaviours sensitive to small perturbations due to the competition between several equilibrium configurations: a dynamically unstable one, and two stable ones. Astrophysical applications to Miras and white dwarfs are tentatively proposed.

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