有闭轨Lienard系统的轨线结构分类

J4 ›› 2011, Vol. 49 ›› Issue (06): 1007-1013.

有闭轨Lienard系统的轨线结构分类

李晓月¹, 王克^1,2

1. 东北师范大学数学与统计学院, 长春 130024|2. 哈尔滨工业大学（威海）数学系, 山东威海 264209

收稿日期:2011-02-19 出版日期:2011-11-26 发布日期:2011-11-28
通讯作者: 李晓月 E-mail:lixy209@nenu.edu.cn

Orbit Classification of Lienard Systems with Closed Orbits

LI Xiaoyue¹, WANG Ke^1,2

1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;2. Department of Mathematics, Harbin Institute of Technology, Weihai 264209, Shandong Province, China

Received:2011-02-19 Online:2011-11-26 Published:2011-11-28
Contact: LI Xiaoyue E-mail:lixy209@nenu.edu.cn

摘要/Abstract

摘要：

利用定性分析方法研究有闭轨Lienard系统轨线结构的拓扑分类, 按Y⁺上点集和Y^-上点集的对应关系给出了分类原则和方法, 并将有闭轨Lienard系统的轨线结构分为40类.

关键词: 闭轨, Lienard系统, 轨线分类

Abstract:

The authors investigated the topological classification of the orbit structures of Lienard systems with closed orbits using the method of qualitative analysis. The classification rules and methods were given by the corresponding relationship between the set of Y⁺ and the set of Y^-, and 40 kinds of orbit structures of Lienard systems with closed orbits were yielded.

Key words: closed orbit, Lienard systems, orbit classification

中图分类号:

O175.12

李晓月, 王克. 有闭轨Lienard系统的轨线结构分类[J]. J4, 2011, 49(06): 1007-1013.

LI Xiao-Ru, WANG Ke-. Orbit Classification of Lienard Systems with Closed Orbits[J]. J4, 2011, 49(06): 1007-1013.