Small radial perturbations of magnetic polytropes

Details Small radial perturbations of magnetic polytropes Small radial perturbations of magnetic polytropes

Jun 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005padeu..15..201b&link_type=abstract

In: Proceedings of the British-Romanian-Hungarian N+N+N Workshop for Young Researchers on Plasma- and Astrophysics: from laborat

Astronomy and Astrophysics

Astrophysics

Scientific paper

The paper is devoted to a qualitative analysis of the nonlinear, radial oscillations of magnetic polytropes. The magnetic field is assumed to be purely toroidal. The small adiabatic perturbations are investigated using the normal forms method. The nonadiabatic effects, described with the aid of two additional terms, related to the sources of the energy and energy damping, respectively, are analyzed with the aid of the dynamical systems theory. The numerical examples confirm and complete the qualitative investigation.

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