A Third-Order Differential Equation Modelling Stellar Pulsation

Details A Third-Order Differential Equation Modelling Stellar Pulsation A Third-Order Differential Equation Modelling Stellar Pulsation

Nov 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aps..ses.gb006m&link_type=abstract

American Physical Society, 74th Annual Meeting of the Southeastern Section, November 8-10, 2007, abstract #GB.006

Physics

Scientific paper

We investigate the properties of the solutions to a third-order nonlinear ODE modeling the radial oscillations of a star. A summary of previous work on this equation has been presented by Cox [1]. Their calculations are based on the use of a two-time perturbation method to determine the possible existence and stability of limit-cycles. We demonstrate that the application of phase-space techniques and the Hopf bifurcation theorem gives results that differ from those reported by Cox. [1] J. P. Cox, Theory of Stellar Pulsation (Princeton University Press, 980), section 13.4.

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