| Codimension 3 Non-resonant Bifurcations of Rough Heteroclinic Loops with One Orbit Flip |
| |
| 作者姓名： | Shuliang SHUI Deming ZHU |
| |
| 作者单位： | Shuliang SHUI Deming ZHU College of Mathematics，Physics and Information Engineering，Zhejiang Normal University，Jinhua 321004，Zhejiang，China; College of Sciences，Shanghai University，Shanghai 200436，China. Department of Mathematics，East China Normal University，Shanghai 200062，China. |
| |
| 基金项目： | 国家自然科学基金;浙江省自然科学基金 |
| |
| 摘 要： | Heteroclinic bifurcations in four dimensional vector fields are investigated by setting up a local coordinates near a rough heteroclinic loop. This heteroclinic loop has a principal heteroclinic orbit and a non-principal heteroclinic orbit that takes orbit flip. The existence, nonexistence, coexistence and uniqueness of the 1-heteroclinic loop, 1-homoclinic orbit and 1-periodic orbit are studied. The existence of the two-fold or three-fold 1-periodic orbit is also obtained.
|
| 关 键 词： | 分歧 环路 非谐振 周期轨道 向量场 |
| 收稿时间： | 31 October 2005 |
| 修稿时间： | 9/6/2008 12:00:00 AM |
Codimension 3 Non-resonant Bifurcations of Rough Heteroclinic Loops with One Orbit Flip |
| |
| Shuliang SHUI,Deming ZHU.Codimension 3 Non-resonant Bifurcations of Rough Heteroclinic Loops with One Orbit Flip[J].Chinese Annals of Mathematics,Series B,2006,27(6):657-674. |
| |
| Authors: | Shuliang SHUI and Deming ZHU |
| |
| Institution: | 1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004,Zhejiang, China; College of Sciences, Shanghai University, Shanghai 200436, China
2. Department of Mathematics, East China Normal University, Shanghai 200062, China |
| |
| Abstract: | Heteroclinic bifurcations in four dimensional vector fields are investigated by setting up a local coordinates near a rough heteroclinic loop. This heteroclinic loop has a principal heteroclinic orbit and a non-principal heteroclinic orbit that takes orbit flip. The existence, nonexistence, coexistence and uniqueness of the 1-heteroclinic loop, 1-homoclinic orbit and 1-periodic orbit are studied. The existence of the two-fold or three-fold 1-periodic orbit is also obtained. |
| |
| Keywords: | Bifurcation Heteroclinic loop Non-resonance Orbit flip Periodic orbit |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
