华东师范大学学报(自然科学版) ›› 2013, Vol. 2013 ›› Issue (1): 47-53.

• 应用数学与基础数学 • 上一篇    下一篇

一些非光滑\,Li\'{e}nard\,系统的小扰动极限环

刘 霞1, 刘艳伟2   

  1. 1. 河南师范大学\;\;数学与信息科学学院,\; 河南\,新乡 453007;
    2. 周口师范学院\;\;数学系,\; 河南\,周口 466001
  • 收稿日期:2011-10-01 修回日期:2012-01-01 出版日期:2013-01-25 发布日期:2013-01-18

Small-amplitude limit cycles of some non-smooth Li\'{e}nard systems

LIU Xia 1,  LIU Yan-wei 2   

  1. 1. College of Mathematics and Information Science, Henan Normal University,\; Xinxiang Henan 453007, China;
    2. Department of Mathematics, Zhoukou Normal University, Zhoukou Henan 466001, China
  • Received:2011-10-01 Revised:2012-01-01 Online:2013-01-25 Published:2013-01-18

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摘要： 根据韩茂安等所得到的计算非光滑\,Li\'{e}nard\,系统的焦点量的方法,
应用\,maple\,程序,
给出一些较一般的非光滑\,Li\'{e}nard\,系统从原点处分支出的极限环数目.

关键词: Li\'{e}nard 系统, 焦点量, 环性数

Abstract: Based on the results by HAN Mao-an, et al. for computing
some focus values of non-smooth Li\'{e}nard systems, the number of
limit cycles bifurcated from the origin of some more general
non-smooth Li\'{e}nard systems were given by using maple process.

Key words: \Li\'{e}nard systems, focus values, Hopf cyclicity

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