| 无闭轨Lienard系统20种非Q结构的实现 |
| |
| 引用本文： | 李晓月,王克.无闭轨Lienard系统20种非Q结构的实现[J].东北师大学报(自然科学版),2012,44(3):1-8. |
| |
| 作者姓名： | 李晓月 王克 |
| |
| 作者单位： | 1. 东北师范大学数学与统计学院,吉林长春,130024
2. 东北师范大学数学与统计学院,吉林长春130024;哈尔滨工业大学(威海)数学系,山东威海264209 |
| |
| 基金项目： | 国家自然科学基金资助项目(10701020,11171056,11171081);吉林省自然科学基金资助项目(20101593) |
| |
| 摘 要： | 在无闭轨Lienard系统完整拓扑分类的基础上,证明了20种非Q轨线结构的实现性,并给出每一种拓扑结构具体实现的充分条件.
|
| 关 键 词： | Lienard系统 闭轨 拓扑分类 Gauss球面 Filippov变换 |
Realization of the 20 kinds of non-Q obit structures of lienard systems without closed orbit |
| |
| LI Xiao-yue
,
WANG Ke.Realization of the 20 kinds of non-Q obit structures of lienard systems without closed orbit[J].Journal of Northeast Normal University (Natural Science Edition),2012,44(3):1-8. |
| |
| Authors: | LI Xiao-yue WANG Ke |
| |
| Institution: | 1,2(1.School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China; 2.Department of Mathematics,Harbin Institute of Technology(Weihai),Weihai 264209,China) |
| |
| Abstract: | Basing on the known orbit classification of Lienard systems without closed orbit,this paper prove the realization of the 20 kinds of non-Q structures and give the sufficient conditions of every realization. |
| |
| Keywords: | Lienard systems closed orbit topological classification Gauss sphere Fillippov transformation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
