Chaotic pulsations in stellar models

Conference · Sat Dec 01 00:00:00 EST 1990 · Annals of the New York Academy of Sciences; (USA)

OSTI ID:5760019

Buchler, J R ^[1]

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1. Florida Univ., Gainesville (USA)

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. 55 refs.

• OSTI ID: 5760019
• Report Number(s): CONF-8910308-; CODEN: ANYAA
• Journal Information: Annals of the New York Academy of Sciences; (USA), Vol. 617; Conference: 5. Florida workshop in nonlinear astronomy, Gainesville, FL (USA), 5-7 Oct 1989; ISSN 0077-8923
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
PULSATING VARIABLE STARS
STAR MODELS
ASTROPHYSICS
CEPHEIDS
CHEMICAL COMPOSITION
LUMINOSITY
MASS
MATHEMATICS
OSCILLATIONS
PULSATIONS
MATHEMATICAL MODELS
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
STARS
VARIABLE STARS
640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar
Radio & X-Ray Sources