Periodic stellar pulsations - Stability analysis and amplitude equations

Details Periodic stellar pulsations - Stability analysis and amplitude equations Periodic stellar pulsations - Stability analysis and amplitude equations

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...380..185b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 380, Oct. 10, 1991, p. 185-199. Research supported by Pittsburgh Supercompu

Statistics

Computation

9

Cepheid Variables, Floquet Theorem, Stellar Oscillations, Computational Astrophysics, Periodic Variations, Stellar Models

Scientific paper

The stability properties of nonlinear periodic stellar pulsations are studied within the amplitude equation formalism. Both nonresonant and resonant pulsations are considered. A comparison to a sequence of classical Cepheid models shows that the formalism provides a good qualitative and quantitative description of the behavior of the Floquet coefficients and that it also captures the most important features of the Floquet eigenvectors. It thus helps shed new light on the behavior (bifurcations) of pulsating stars. In addition, the predictive powers of the analytical approach allow a systematic search for models with specific pulsational properties.

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