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

Previous Articles     Next Articles

Orbit Classification of Lienard Systems with Closed Orbits

LI Xiaoyue1, WANG Ke1,2   

  1. 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

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

CLC Number: 

  • O175.12