Kolmogorov unstable stellar oscillations

Details Kolmogorov unstable stellar oscillations Kolmogorov unstable stellar oscillations

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983soph...82..297p&link_type=abstract

(International Astronomical Union and Akademiia Nauk SSSR, Colloquium on Problems of Solar and Stellar Oscillations, 66th, Nauch

Computer Science

Numerical Analysis

6

Kolmogoroff Theory, Nonstabilized Oscillation, Stellar Oscillations, Adiabatic Conditions, Asymptotic Methods, Coupled Modes, Degrees Of Freedom, Hamiltonian Functions, Harmonic Oscillators, Numerical Analysis, Solar Oscillations, Stellar Models

Scientific paper

The present discussion of the mathematics of nonlinear Hamiltonian oscillations emphasizes the recently discovered Kolmogorov instability, which in the context of radial adiabatic oscillations is predicted even at low energies if sufficiently high linear asymptotic modes have been excited. On the basis of numerical evidence, it is conjectured that the enhanced coupling due to internal resonance effects in the Kolmogorov unstable regime leads to an equipartition of energy over all interacting degrees of freedom. The Kolmogorov instability is judged likely to occur among nonlinearly coupled, nonradial stellar modes at a surface amplitude that is much lower than that of the radial case. This lends credence to the view that the instability may be present among solar oscillations.

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