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

Details Improving a method for the study of limit cycles of the Lienard equation Improving a method for the study of limit cycles of the Lienard equation

1997-10-02

arxiv.org/abs/chao-dyn/9709036v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, 4 figures

Scientific paper

10.1103/PhysRevE.57.6573

In recent papers we have introduced a method for the study of limit cycles of the Lienard 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.

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