Nonlinear coupling of stellar oscillations

Details Nonlinear coupling of stellar oscillations Nonlinear coupling of stellar oscillations

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56..750v&link_type=abstract

Astronomicheskii Zhurnal, vol. 56, July-Aug. 1979, p. 750-758. In Russian.

Astronomy and Astrophysics

Astrophysics

5

Astrophysics, Coupled Modes, Solar Oscillations, Stellar Atmospheres, Brightness, Eigenvectors, Equations Of Motion, Resonance, Series Expansion

Scientific paper

Equations containing terms that are quadratic with respect to perturbations are used to investigate nonlinear coupling of stellar oscillations on the assumption that self-excited radial or nonradial modes, or both, are present. A series expansion of the solution in terms of three-dimensional eigenfunctions that characterize linear oscillations in the adiabatic approximation is carried out. It is found that in some cases the problem of mode coupling can be reduced to solving a system of ordinary differential equations for the time-dependent coefficients of the cited series. A resonance effect is discussed which may cause small-scale instabilities or instabilities localized in interior layers to result in pronounced large-scale radial or nonradial oscillations.

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