Improving a method for the study of limit cycles of the Lienard equation
chao-dyn
2009-10-30 v1 Chaotic Dynamics
Abstract
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.
Cite
@article{arxiv.chao-dyn/9709036,
title = {Improving a method for the study of limit cycles of the Lienard equation},
author = {Hector Giacomini and Sebastien Neukirch},
journal= {arXiv preprint arXiv:chao-dyn/9709036},
year = {2009}
}
Comments
11 pages, 4 figures