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Abstract

A general method by which to investigate nonlinear dynamic systems close to a stability threshold is presented. This method combines a proper orthogonal decomposition and a subsequent Galerkin projection. This technique is applied to three-dimensional resistive ballooning plasma fluctuations in a tokamak. The corresponding dynamical system belongs to a large family of convective fluid systems including Rayleigh-BÚnard convection. A proper orthogonal decomposition of the fluctuating signal obtained by numerical simulation shows that the relevant modes are close to the linear (global) modes. The Galerkin projection provides a low-dimensional system that allows the study of shear flow generation, its subsequent fluctuation reduction and the evolution to oscillating states.

Additional information

Authors: BEYER P, Equipe Dynamique des Systþmes Complexes, LPIIM, CRNS-UniversitÚ de Provence, Marseilles (FR);BENKADDA S, Equipe Dynamique des Systþmes Complexes, LPIIM, CRNS-UniversitÚ de Provence, Marseilles (FR);GARBET X, Association Euratom-CEA, CEA/Cadarache, Saint-Paul-Lez-Durance (FR)
Bibliographic Reference: Article: Physical Review, Vol. 61 (2000) No. 1, pp. 813-823
Availability: Physical Review (Journal)
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