The search for double-mode pulsator models

Details The search for double-mode pulsator models The search for double-mode pulsator models

Nov 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...250..776b&link_type=abstract

Astrophysical Journal, Part 1, vol. 250, Nov. 15, 1981, p. 776-781. U.S.-Israel Binational Science Foundation

Astronomy and Astrophysics

Astrophysics

8

Stellar Models, Stellar Oscillations, Vibration Mode, Formalism, Hydrodynamic Equations, Mathematical Models, Numerical Integration, Stable Oscillations

Scientific paper

A description is presented of a mathematical formalism capable of searching for and studying multimode stable pulsators. The method involved differs considerably from the iterative method employed in recent attempts to understand double-mode pulsations. Attention is given to a simple analytical example of a double-mode pulsator, which exhibits some of the structure of a real pulsator. The behavior of the simple model is used as a basis for a speculation why numerical hydrodynamic searches for a double-mode pulsation are unlikely to be successful. The conducted analysis involves a generalization of a two-time method which has been successfully applied to monomode oscillators. It is found that the existence of double-mode limiting pulsation does not necessarily require the presence of internal resonances.

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