Abstract
The simplest model for the evolution to steady nonlinear stellar pulsation is nonresonant interaction involving two linearly unstable modes. One scenario models a double-mode pulsator, while another one shows evolution to classic pulsators. In all cases exact shock-like solutions have been obtained.
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Verheest, F. Nonresonant mode coupling in double-mode pulsators. Astrophys Space Sci 200, 325–330 (1993). https://doi.org/10.1007/BF00627139
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DOI: https://doi.org/10.1007/BF00627139