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.
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页码：515 / 526
页数：12
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