Nonlinear oscillations of magnetic polytropes.

Details Nonlinear oscillations of magnetic polytropes. Nonlinear oscillations of magnetic polytropes.

Mar 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998crasb.326..219b&link_type=abstract

Comptes Rendus de l'Academie des Sciences, Sér. II, Fasc. b, Tome 326, No. 3, p. 219 - 226

Computer Science

Polytropes: Stellar Oscillations

Scientific paper

The paper includes a qualitative study of the equation of radial, nonlinear, nonadiabatic pulsations of the magnetic polytropes. The magnetic field is considered to be purely toroidal and weak. The nonadiabatic effects are described by two parameters μ related to the sources of energy and λ proportional with the damping of the energy. The author finds that there is only one equilibrium point for this equation. Its character is determined by μ. Whatever the value of the parameters involved, periodic orbits exist if μ > 0. These are unique and stable only if μ and λ are small.

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