Degenerate orbit flip homoclinic bifurcations with higher dimensions

被引：1
|
作者：
Wu, Ran Chao [1 ]
Sun, Jian Hua [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
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; Poincare map;
D O I：
10.1007/s10114-005-0705-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bifurcations of a degenerate homoclinic orbit with orbit flip in high dimensional system are studied. By establishing a local coordinate system and a Poincare map near the homoclinic orbit, the existence and uniqueness of 1-homoclinic orbit and 1-periodic orbit are given. Also considered is the existence of 2-homoclinic orbit and 2-periodic orbit. In additon, the corresponding bifurcation surfaces are given.
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页码：1651 / 1656
页数：6
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