具有同宿轨的系统在扰动下的分岔及混沌行为  

The Homoclinic Bifurcations and Chaotic Motions for Differential Equations

作　　者：朱长荣[1] 

机构地区：[1]重庆大学数学与统计学院,重庆401331

出　　处：《四川师范大学学报（自然科学版）》2014年第1期131-136,2,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然基金(11171360);新世纪人才支持计划(NECT-12-0586)资助项目

摘　　要：研究系统的同宿轨在小扰动下的动力行为,已有很长的历史,一直以来受到人们的广泛关注,因为在同宿轨附近的动力行为非常复杂,也非常有趣.近年来,关于同宿轨的保持性与分叉,又出现了很多新的结果和新方法,比如引入截断函数、引入Brown运动等等.就在此对已有结果做一个简单的回顾和总结.It is a long history to study the dynamical behaviors for differential equations under perturbations. It is proved that the dynamics near the homoclinic solutions are very complex and interesting. Recently, some new technologies were used to recover some new phenomena aground the homoclinic solutions, such as truncate functions, Brownian motions and so on. This paper is to recall some new results and technologies to whom it may be concerned.

关 键 词：指数二分性 分岔 同宿轨 Fredholm更替原理 

分 类 号：O193[理学—数学]