Solar oscillations - The challenge of nonlinearity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Nonlinear Systems, Solar Oscillations, Surface Distortion, Hamiltonian Functions, Numerical Integration, Power Spectra, Variational Principles

Scientific paper

Preliminary numerical and theoretical experimental results supporting the view that the observed long period of the sun may be a nonlinear phenomenon are presented. The nonlinear power spectrum of the surface displacement is noted to invariably show a peak in the 2-3 hour range. It is found that nonlinear effects set in earlier with increasing total number of interacting modes, as can be readily understood from the asymptotic behavior of eigenfunctions. A variant of Linstedt's classical perturbation method indicates that the spectral peak in the power spectrum of the surface displacement is a superposition of a large number of nonlinear contributions.

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