高维同宿分支问题  

Problems in Homoclinic Bifurcation with Higher Dimensions

作　　者：朱德明[1] 

机构地区：[1]华东师范大学数学系,上海200062

出　　处：《数学学报（中文版）》1998年第6期1289-1294,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金!19771037

摘　　要：本文通过应用指数二分性和将关于周期系统的Floquet方法推广到非周期系统，来构造适当的局部坐标系以建立Poincare映射，并用以解决各类余维为1和2的同宿分支问题．文中还给出了分支图和分支曲线．In this paper, a suitable normal coordinate system is constructed by using exponential dichotomies and generalizing the Floquet method from periodic systems to nonperiodic systems. Then the Poincare map is established to solve various problems in homoclinic bifurcations with codimension one or two. Bifurcation diagrams and bifurcation curves are given.

关 键 词：指数二分性 同宿分支 周期轨道 微分系统 

分 类 号：O175.12[理学—数学]