CYCLICITY OF SOME LIENARD SYSTEMS

被引：10

作者：

Li, Na ^{[1
,2
]}

Han, Maoan ^{[1
]}

Romanovski, Valery G. ^{[1
,3
,4
]}

机构：

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

[2] Shanghai Univ Engn Sci, Coll Fundamental Studies, Shanghai 201620, Peoples R China

[3] Univ Maribor, Ctr Appl Math & Theoret Phys, SI-2000 Maribor, Slovenia

[4] Univ Maribor, Fac Nat Sci & Math, SI-2000 Maribor, Slovenia

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2015年 / 14卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Limit cycle; cyclicity; Lienard system; AMPLITUDE LIMIT-CYCLES; GLOBAL BIFURCATION; CUBIC SYSTEMS; NUMBER; FAMILY;

D O I：

10.3934/cpaa.2015.14.2127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Lienard system and its generalizations are important models of nonlinear oscillators. We study small-amplitude limit cycles of two families of Lienard systems and find exact number of such limit cycles bifurcating from a center or focus at the origin for these families, thus obtaining the precise bound for cyclicity of the families.

引用

页码：2127 / 2150

页数：24

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