Etude de l'oscillateur de Van der Pol généralisé par la méthode du groupe de renormalisation

Abstract

The renormalization group method is one of the singular perturbation methods used in the research of the asymptotic behavior of solution of ordinary differential equations. In this paper, the equation of VAN der Pol generalized oscillator that models many physical phenomena is considered. A brief review of the technique is done and is applied to the generalized VAN der Pol oscillator to highlight its asymptotic solution.

11 pages, in French. accepted for publication in JRSUL