LIMIT CYCLE BIFURCATIONS OF A KIND OF LIENARD SYSTEM WITH A HYPOBOLIC SADDLE AND A NILPOTENT CUSP

被引：0

作者：

Yang, Junmin ^{[1
,2
]}

Liang, Feng ^{[3
]}

机构：

[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China

[2] Hebei Key Lab Computat Math & Applicat, Shijiazhuang 050016, Peoples R China

[3] Anhui Normal Univ, Coll Math & Comp Sci, Wuhu 241000, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2015年 / 5卷 / 03期

基金：

中国国家自然科学基金;

关键词：

limit cycle; Lienard system; nilpotent cusp; heteroclinic loop; HAMILTONIAN-SYSTEMS; SMALL PERTURBATIONS; NUMBER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gives a general theorem on the number of limit cycles of a near Hamiltonian system with a heteroclinic loop passing through a hyperbolic saddle and a nilpotent cusp. Then we study a kind of Lienard systems of type (n, 4) for 3 <= n <= 27 and obtain the lower bound of the maximal number of limit cycles for this kind of system.

引用

页码：515 / 526

页数：12

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