Mathematics
Scientific paper
Feb 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.164..295a&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 164, no. 2, Feb. 1990, p. 295-307.
Mathematics
14
Astronomical Models, Branching (Mathematics), Chaos, Stellar Oscillations, Cepheid Variables, Kinetic Energy, Light Curve, Photosphere, Stellar Mass, Supergiant Stars
Scientific paper
One of the model sequences which is found to show the period-doubling cascade by Kovacs and Buchler (1988) is reexamined by the hydrodynamic pulsation code with dynamic rezoning of the hydrogen ionization zones (TGRID). It is found that the sequence shows subharmonic bifurcations and chaotic behaviors as the effective temperature, a control parameter in this sequence, is varied, as found by Kovacs and Buchler (1988). The subharmonic cascade, however, is terminated at period 4, and the type I intermittency takes place against the cascade. The chaotic behavior is caused by the intermittency in the model sequence rather than the infinite period-doubling cascade. Finally, effects of the outbursts of highly irregular oscillation due to the intermittency on the tendency in the train of light curves are discussed.
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