Statistics – Computation
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990nyasa.617...17b&link_type=abstract
(Nonlinear astrophysical fluid dynamics; Proceedings of the 5th Florida Workshop in Nonlinear Astronomy, Gainesville, FL, Oct. 5
Statistics
Computation
9
Cepheid Variables, Chaos, Stellar Luminosity, Stellar Mass, Stellar Models, Stellar Oscillations, Branching (Mathematics), Computational Astrophysics, Period Doubling, Radial Distribution, Robustness (Mathematics)
Scientific paper
The irregular behavior of large-amplitude pulsating stars undergoing radial oscillations is examined theoretically, with a focus on hydrodynamic simulations of the W Virginis population II Cepheids (stars which show both regular and RV Tau characteristics). Sequences of models are constructed as one-parameter families (with luminosity, mass, and composition fixed and Teff as the control parameter) and analyzed to derive a systematic map of the bifurcation set; i.e., of the possible types of pulsations. The results are presented graphically, and it is shown that both cascades of period doubling (via destabilization of an overtone through a half-integer-type resonance) and tangent bifurcation are possible routes to chaos in these systems, depending on the stellar parameters. The general robustness of the chaotic behavior and the existence of a 'chaotic blue edge' in stellar-parameter space are demonstrated.
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