Homoclinic Bifurcation of Orbit Flip with Resonant Principal Eigenvalues

被引：0

作者：

Tian Si ZHANG ^{[1
]}

De Ming ZHU ^{[1
]}

机构：

[1] Department of Mathematics,East China Normal University

来源：

Acta Mathematica Sinica,English Series | 2006年 / 22卷 / 03期

关键词：

Orbit flip; Homoclinic orbit; Periodic orbit; Resonance; Principal eigenvalues;

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：

Codimension-3 bifurcations of an orbit-flip homoclinic orbit with resonant principal eigen-values are studied for a four-dimensional system.The existence,number,co-existence and non-coexistence of 1-homoclinic orbit,1-periodic orbit,2n-homoclinic orbit and 2n-periodic orbit are ob-tained.The bifurcation surfaces and existence regions are also given.

引用

页码：855 / 864

页数：10

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