Homoclinic Bifurcation of Orbit Flip with Resonant Principal Eigenvalues

被引：0
作者：
Tian Si Zhang
De Ming Zhu
机构：
[1] East China Normal University,Department of Mathematics
来源：
Acta Mathematica Sinica | 2006年 / 22卷
关键词：
Orbit flip; Homoclinic orbit; Periodic orbit; Resonance; Principal eigenvalues; 37C29; 34C23; 34C37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Codimension–3 bifurcations of an orbit–flip homoclinic orbit with resonant principal eigenvalues 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 obtained. The bifurcation surfaces and existence regions are also given.
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页码：855 / 864
页数：9
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