Degenerate Orbit Flip Homoclinic Bifurcations with Higher Dimensions

被引：0
|
作者：
Ran Chao WU Jian Hua SUN Department of Mathematics
机构：
来源：
Acta Mathematica Sinica,English Series | 2006年 / 22卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Orbit flip; Homoclinic bifurcations; Poincarémap;
D O I：
暂无
中图分类号：
O177.91 [非线性泛函分析];
学科分类号：
070104 ;
摘要：
Bifurcations of a degenerate homoclinic orbit with orbit flip in high dimensional system arestudied.By establishing a local coordinate system and a Poincaré map near the homoclinic orbit,theexistence and uniqueness of 1-homoclinic orbit and 1-periodic orbit are given.Also considered is theexistence of 2-homoclinic orbit and 2-periodic orbit.In additon,the corresponding bifurcation surfacesare given.
引用
收藏
页码：1651 / 1656
页数：6
相关论文
共 50 条
12345