Statistics – Computation
Scientific paper
Jun 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...355..590m&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 355, June 1, 1990, p. 590-601.
Statistics
Computation
46
Astronomical Models, Cepheid Variables, Computational Astrophysics, Stellar Models, Stellar Oscillations, Floquet Theorem, Hydrodynamics, Stellar Interiors
Scientific paper
The nonlinear pulsational behavior of several sequences of state-of-the-art Cepheid models is computed with a numerical hydrodynamics code. These sequences exhibit period doubling as the control parameter, the effective temperature, is changed. By following the evolution of the Floquet stability coefficients of the periodic pulsations, this period doubling is identified with the destabilization of a vibrational overtone mode through a resonance of the type (2n + 1) omega (0) equal to about 2 omega (k) (n integer). In the weakly dissipative Population I Cepheids, only a single period doubling and subsequent undoubling is observed, whereas in the case of the strongly dissipative Population II Cepheids, a cascade of period doublings and chaos can occur. The basic properties of the period doubling bifurcation are examined within the amplitude equation formalism, leaving little doubt about the resonance origin of the phenomenon. A simple model system to two coupled nonlinear oscillators which mimics the behavior of the complicated stellar models is also analyzed.
Buchler Jean-Robert
Moskalik Pawel
No associations
LandOfFree
Resonances and period doubling in the pulsations of stellar models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Resonances and period doubling in the pulsations of stellar models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonances and period doubling in the pulsations of stellar models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-981995