Bifurcations of a Homoclinic Orbit to Saddle-Center in Reversible Systems

被引：0

作者：

Qiao, Zhiqin ^{[2
]}

Xu, Yancong ^{[1
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

[2] N Univ China, Dept Math, Taiyuan 030051, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

CENTER EQUILIBRIUM;

D O I：

10.1155/2012/678252

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The bifurcations near a primary homoclinic orbit to a saddle-center are investigated in a 4-dimensional reversible system. By establishing a new kind of local moving frame along the primary homoclinic orbit and using the Melnikov functions, the existence and nonexistence of 1-homoclinic orbit and 1-periodic orbit, including symmetric 1-homoclinic orbit and 1-periodic orbit, and their corresponding codimension 1 or codimension 3 surfaces, are obtained.

引用

页数：12

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