华东师范大学学报(自然科学版) ›› 2011, Vol. 2011 ›› Issue (3): 44-53.

• 应用数学与基础数学 • 上一篇    下一篇

一类非光滑Lienard系统的极限环研究

杨 璐;刘 霞;邢业朋   

  1. 上海师范大学 数学系, 上海 200234
  • 收稿日期:2010-05-01 修回日期:2010-08-01 出版日期:2011-05-25 发布日期:2011-05-25
  • 通讯作者: 邢业朋

Study of limit cycles for some non-smooth Lienard systems

YANG Lu; LIU Xia;XING Ye-peng   

  1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
  • Received:2010-05-01 Revised:2010-08-01 Online:2011-05-25 Published:2011-05-25
  • Contact: XING Ye-peng

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摘要： 利用代数方法研究了平面非光滑Lienard系统的Hopf环性数, 首先给出了焦点量计算的新公式, 然后在此基础上讨论了一类非光滑Lienard系统的Hopf环性数, 所得结论改进了已知结果.

关键词: Lienard系统, 非光滑, 极限环, Hopf环性数, Lienard系统, 非光滑, 极限环, Hopf环性数

Abstract: Algebraic method was used to study the Hopf cyclicity of non-smooth Lienard systems on the plain. Some new formulas for computing focus values were presented. Based on the formulas, the number of limit cycles bifurcating from some non-smooth Lienard systems was obtained. The results improve the known results.

Key words: non-smooth, limit cycle, Hopf cyclicity, Lienard systems, non-smooth, limit cycle, Hopf cyclicity

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