Existence of periodic orbits and shift-invariant curve sequences near multiple homoclinics  

作　　者：XU Yan-cong GENG Feng-jie 

机构地区：[1]Department of Mathematics,Hangzhou Normal University [2]School of Science,China University of Geosciences

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2014年第1期108-118,共11页高校应用数学学报（英文版）（B辑）

基　　金：Supported by Science Research Foundation of the Returned Overseas Chinese Scholar,SEM,the NSF of China(11202192);Zhejiang Province(LY13A010020)and Program for Excellent Young Teachers in HNU(HNUEYT2013)

摘　　要：In this paper, the complicated dynamics is studied near a double homoclinic loops with bellows configuration for general systems. For the non-twisted multiple homoclinics, the existence of periodic orbit with the specified route and the existence of shift-invariant curve sequences defined on the cross sections of multiple homoclinics corresponding to any specified one-side infinite sequences are given. In addition, the existence regions are also located.In this paper, the complicated dynamics is studied near a double homoclinic loops with bellows configuration for general systems. For the non-twisted multiple homoclinics, the existence of periodic orbit with the specified route and the existence of shift-invariant curve sequences defined on the cross sections of multiple homoclinics corresponding to any specified one-side infinite sequences are given. In addition, the existence regions are also located.

关 键 词：Bifurcations Homoclinic bellows Periodic orbit Invariant-curve sequences 

分 类 号：O186.11[理学—数学]