Codimension 2 bifurcations of double homoclinic loops

被引：7
|
作者：
Zhang, Weipeng [1 ,2 ]
Zhu, Deming [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 01期
关键词：
HETEROCLINIC LOOP; LIMIT-CYCLES; ORBIT-FLIP; SYSTEMS; CHAOS;
D O I：
10.1016/j.chaos.2007.01.101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, the double-homoclinic-loop bifurcations in four dimensional vector fields are investigated by setting lip local coordinates near the double homoclinic loops. We get the existence, uniqueness and incoexistence of the large I-hom and large I-per orbit, and their corresponding existence regions are located. Furthermore, the inexistence of the large 2-hom and large 2-per orbit are also demonstrated. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：295 / 303
页数：9
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