Bifurcation of limit cycles from a double homoclinic loop with a rough saddle

被引：3

作者：

Han, M ^{[1
]}

Bi, P ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2004年 / 25卷 / 02期

关键词：

double homoclinic loop; bifurcation; limit cycle;

D O I：

10.1142/S025295990400024X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns with the bifurcation of limit cycles from a double homoclinic loop under multiple parameter perturbations for general planar systems. The existence conditions of 4 homoclinic bifurcation curves and small and large limit cycles are especially investigated.

引用

页码：233 / 242

页数：10