Small-amplitude limit cycles of polynomial Linard systems

被引：1

作者：

HAN MaoAn ^{[1
]}

TIAN Yun ^{[2
]}

YU Pei ^{[2
]}

机构：

[1] Department of Mathematics,Shanghai Normal University

[2] Department of Applied Mathematics,The University of Western Ontario

来源：

Science China Mathematics | 2013年 / 56卷 / 08期

基金：

中国国家自然科学基金;

关键词：

limit cycle; Li’enard system; Hopf bifurcation;

D O I：

暂无

中图分类号：

O153.3 [环论];

学科分类号：

070104 ;

摘要：

In this paper,we study the number of limit cycles appeared in Hopf bifurcations of a Linard system with multiple parameters.As an application to some polynomial Li’enard systems of the form x=y,y=gm(x)-fn(x)y,we obtain a new lower bound of maximal number of limit cycles which appear in Hopf bifurcation for arbitrary degrees m and n.

引用

页码：1546 / 1559

页数：14

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