On multimode pulsations of degenerate stellar models

Details On multimode pulsations of degenerate stellar models On multimode pulsations of degenerate stellar models

Nov 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...346..289d&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 346, Nov. 1, 1989, p. 289-298. Research supported by the Ministry of Scienc

Statistics

Computation

11

Computational Astrophysics, Degenerate Matter, Stellar Interiors, Stellar Models, Stellar Oscillations, Differential Equations, Equations Of Motion, Liapunov Functions, Stellar Mass

Scientific paper

Nonlinear dissipative radial oscillations of partially and completely degenerate stellar models have been studied. The general mathematical framework for the study of interaction between various radial modes of oscillation has been presented. The dynamical tools, e.g., Poincare surface of section and the spectrum of Liapunov exponents, have been used to investigate the nature of pulsation in the phase space. For simplicity, numerical computations have been made to study the interaction of only the first three modes, including the fundamental mode for both partially and completely degenerate stellar masses. For these models, with varying degrees of central degeneracy, the possible occurrence of quasi-periodic motions with as many as three irrationally related frequencies has been established in the dissipative regime.

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