LIMIT CYCLES NEAR A DOUBLE HOMOCLINIC LOOP

被引：1

作者：

Yang Junmin Han Maoan (Dept.of Math.

机构：

来源：

Annals of Applied Mathematics | 2007年 / 04期

基金：

中国国家自然科学基金;

关键词：

double homoclinic loop; limit cycle; bifurcation; polynomial system;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this article,we study the expansion of the first order Melnikov function in a near-Hamiltonian system on the plane near a double homoclinic loop.We obtain an explicit formula to compute the first four coeffcients,and then identify the method of finding at least 7 limit cycles near the double homoclinic loop using these coefficients.Finally,we present some interesting applications.

引用

页码：536 / 545

页数：10

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