Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles
Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles作者机构:Yiyang Medical College Hunan Pro of China Yiyang China
出 版 物:《American Journal of Computational Mathematics》 (美国计算数学期刊(英文))
年 卷 期:2012年第2卷第2期
页 面:106-113页
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Exponential Dichotomies Homoclinic Orbits Heteroclinic Cycle Melnikov Function
摘 要:In this paper, we investigate the homoclinic bifurcations from a heteroclinic cycle by using exponential dichotomies. We give a Melnikov—type condition assuring the existence of homoclinic orbits form heteroclinic cycle. We improve some important results.