Small-amplitude limit cycles of some Lienard-type systems

被引：15

作者：

Jiang, Jiao ^{[1
]}

Han, Maoan ^{[2
]}

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 201303, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Lienard equation; Limit cycle; Hopf bifurcation; EQUATIONS;

D O I：

10.1016/j.na.2009.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As we know, the Lienard system and its generalized forms are classical and important models of nonlinear oscillators, and have been widely studied by mathematicians and scientists. The main problem considered by most people is the number of limit cycles. In this paper, we investigate two kinds of Lienard systems and obtain the maximal number (i.e. the least upper bound) of limit cycles appearing in Hopf bifurcations by applying some known bifurcation theorems with technical analysis. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：6373 / 6377

页数：5