Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.139..281a&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 139, no. 2, Dec. 1987, p. 281-293.
Astronomy and Astrophysics
Astrophysics
33
Chaos, Magnetohydrodynamic Waves, Stellar Models, Stellar Oscillations, Supergiant Stars, Fourier Analysis, Light Curve, Mira Variables, Stellar Luminosity, Variable Stars
Scientific paper
Hydrodynamic simulations for a series of models with Te of 5300 K and in the 1.4-1.5 solar mass range are performed, confirming the transition from limit cycles to irregular pulsations with decreasing mass. When pulsations start with larger amplitudes than their limiting pulsations, the rates of the dissipation of pulsational kinetic energies in limit cycle models are shown to be extemely small. It is found that the model which has the stable limit cycle near the transition has another unstable fixed point above the limit cycle, and that the transition can be found exactly in agreement with the intermittency proposed by Pomeau and Manneville (1980) as a route to chaos in dissipative systems.
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