Article Dans Une Revue Physical Review E Année : 1998

Improving a method for the study of limit cycles of the Liénard equation

Hector Giacomini
Sébastien Neukirch

Résumé

In recent papers we have introduced a method for the study of limit cycles of the Liénard system, $\dot x=y-F(x)$, $\dot y=-x$, where $F(x)$ is an odd polynomial. The method gives a sequence of polynomials $R_n(x)$, whose roots are related to the number and location of the limit cycles, and a sequence of algebraic approximations to the bifurcation set of the system. In this paper, we present a variant of the method that gives very important qualitative and quantitative improvements.

Dates et versions

hal-05380581 , version 1 (24-11-2025)

Identifiants

Citer

Hector Giacomini, Sébastien Neukirch. Improving a method for the study of limit cycles of the Liénard equation. Physical Review E , 1998, 57 (6), pp.6573-6576. ⟨10.1103/PhysRevE.57.6573⟩. ⟨hal-05380581⟩
45 Consultations
0 Téléchargements

Altmetric

Partager

  • More