连接1阶细鞍焦点的反转同宿环附近的动态及分支问题  

Dynamical Behaviors and Bifurcation Problems near Reversible Homoclinic Loop Connecting 1st-Order Fine Saddle-Focus

作　　者：孙莹[1] 朱德明[2] 

机构地区：[1]济南大学理学院,济南250022 [2]华东师范大学数学系,上海200062

出　　处：《数学年刊（A辑）》2008年第3期425-434,共10页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No．10371040);济南大学校博士基金(No．B0636)资助的项目

摘　　要：在反转条件下研究了连接1阶细鞍焦点的对称同宿轨线附近包括具有各种不同缠绕数的周期轨线和同宿轨线在内的极其复杂的轨线结构,并且讨论了伴随Hopf分支的同宿轨线分支情况.In this paper,the complicated orbit structure,including various kinds of periodic orbits and homoclinic orbits with different winding numbers,are studied near a reversible homoclinic loop connecting a 1st-order fine saddle-focus,and the homoclinic orbit bifurcation problems accompanying the Hopf bifurcation are also considered.

关 键 词：同宿轨线 反转性质 鞍焦点 HOPF分支 

分 类 号：O183[理学—数学]