Bifurcations of nontwisted heteroclinic loop

作     者：田清平 朱德明 

作者机构：Department of Mathematics East China Normal University Shanghai 200062 China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2000年第43卷第8期

页      面：818-828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：National Natural Science Foundation of China  NSFC  (19771037) 

主　　题：heteroclinic orbit homoclinic orbit periodic orbit inside stability. 

摘      要：Bifurcations of nontwisted and fine heteroclinic loops are studied for higher dimensional systems. The existence and its associated existing regions are given for the 1-hom orbit and the 1-per orbit, respectively, and bifurcation surfaces of the two-fold periodic orbit are also obtained. At last, these bifurcation results are applied to the fine heteroclinic loop for the planar system, which leads to some new and interesting results.