Homoclinic Bifurcation of Orbit Flip with Resonant Principal Eigenvalues

作     者：Tian Si ZHANG De Ming ZHU 

作者机构：Department of MathematicsEast China Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第3期

页      面：855-864页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by NNSFC(Grant:10371040) 

主　　题：Orbit flip Homoclinic orbit Periodic orbit Resonance Principal eigenvalues 

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 noncoexistence 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.