On the maximum number of limit cycles of certain polynomial Lienard equations

We consider the Lienard equation of the form$\ddot x + ε f(x)\dot x + x\sp{2m+1} = 0,\eqno(1)\cr$which is equivalent to the planar system$\eqalignno{\dot x &= y&\enspace\cr \dot{y} &= -x\sp{2m+1} - ε f(x)y,&(2)\cr}$where m is a nonnegative integer, f is a real polynomial and $\epsilon$ is a small parameter.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Yao, Leummim

Contributors dc:contributor

• Albrecht, Felix

• Mathematics

Statement dc:rights

• Copyright 1995 Yao, Leummim

Language dc:language

eng

Identifier

AAI9624545
(UMI)AAI9624545

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22869