| 反转系统中异宿环附近的同宿轨和周期轨(英) |
| |
| 引用本文： | 孙莹,朱德明. 反转系统中异宿环附近的同宿轨和周期轨(英)[J]. 华东师范大学学报(自然科学版), 2006, 2006(5): 13-23 |
| |
| 作者姓名： | 孙莹 朱德明 |
| |
| 作者单位： | 华东师范大学,数学系,上海,200062 |
| |
| 摘 要： | 讨论了四维反转系统中异宿环附近的动态性质,其中的异宿轨是连接鞍焦点和鞍点的.证明在通有条件下,该异宿环附近存在可数无穷多条1-同宿轨,和可数无穷多个1-周期轨的单参数族,同时对这些周期轨和同宿轨作了直观描述.
|
| 关 键 词： | 同宿轨 异宿轨 反转性 鞍焦点 homoclinic orbits heteroclinic orbits reversibility saddle-focus |
| 文章编号： | 1000-5641（2006）05-0013-11 |
| 收稿时间： | 2005-04-01 |
| 修稿时间： | 2005-04-01 |
Reversible Homoclinic and Periodic Orbits Near Heteroclinic Loop(English) |
| |
| SUN Ying,ZHU De-ming. Reversible Homoclinic and Periodic Orbits Near Heteroclinic Loop(English)[J]. Journal of East China Normal University(Natural Science), 2006, 2006(5): 13-23 |
| |
| Authors: | SUN Ying ZHU De-ming |
| |
| Affiliation: | Department of Mathematics, East China Normal University, Shanghai 200062, China |
| |
| Abstract: | This paper studied the dynamical behavior of a 4-dimensional reversible system near a heteroclinic loop connecting a saddle-focus equilibrium and a saddle one. An existence theorem concerning denumerable 1-homoclinic orbits and countable families of 1-periodic orbits was given under a generic condition; and an intuitionistic description about those orbits was also given. |
| |
| Keywords: | homoclinic orbits heteroclinic orbits reversibility saddle-focus |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《华东师范大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《华东师范大学学报(自然科学版)》下载全文 |
