Non-linear stellar oscillations - Multi-mode interactions

Details Non-linear stellar oscillations - Multi-mode interactions Non-linear stellar oscillations - Multi-mode interactions

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...136..263p&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 136, no. 2, July 1984, p. 263-281. Research supported by the Royal Society.

Astronomy and Astrophysics

Astrophysics

8

Stellar Motions, Stellar Oscillations, Variable Stars, Adiabatic Equations, Chaos, Coupled Modes, Nonlinear Systems, Power Spectra, Surface Distortion, Vibration Mode

Scientific paper

The numerical investigation of the role of the non-linear adiabatic coupling of pairs of linear radial stellar modes on the character of the oscillations (Perdang and Blacher, 1982) is extended to the non-linear coupling of larger numbers of modes. Besides the qualitative result that chaotic stellar oscillations survive under this more realistic alternative, several new phenomena emerge: (1) As the number F of interacting modes is increased, chaos sets in at progressively lower surface amplitudes. (2) For F large, the power spectrum of the surface displacement seemingly tends towards a universal shape, irrespective of the initial conditions. (3) The spectrum exhibits a non-linear peak at a frequency of about 2/5 times the fundamental frequency.

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