BIFURCATIONS OF TWISTED HOMOCLINIC LOOPS FOR DEGENERATED CASES

被引：0
|
作者：
Jin YinlaiDept. of Math.
机构：
来源：
Applied Mathematics:A Journal of Chinese Universities | 2003年 / 02期
基金：
中国国家自然科学基金;
关键词：
local coordinates; bifurcation equation; twist homoclinic loop; bifurcation;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,the bifurcation problems of twisted and degenerated homoclinic loop for higher dimensional systems are studied.Under the nonresonant condition,the existence,uniqueness,and incoexistence of the 1-homoclinic loop and 1-periodic orbit near Γ are obtained,and the inexistence of the 2-homoclinic loop and the existence of 2-periodic orbit near Γ are also given.
引用
收藏
页码：186 / 192
页数：7
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