The stability of double homoclinic loops

被引：20
|
作者：
Han, MA [1 ]
Wu, YH [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 11期
关键词：
double homoclinic loop; Poincare map; stability; normal form;
D O I：
10.1016/j.aml.2003.10.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose a central symmetry COO planar system has a double homoclinic loop L. By using normal form theory and Poincare maps, we study its inner and outer stability and give two series of constants for determining its inner and outer. stability. These two series of constants are closely related to each other. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：1291 / 1298
页数：8
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