Small amplitude limit cycles for two classes of Liénard systems

XIONG Feng; HUANG Wentao

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Small amplitude limit cycles for two classes of Liénard systems

更新时间：2023-12-11

- Small amplitude limit cycles for two classes of Liénard systems
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 56, Issue 3, Pages: 66-70(2017)
- 作者机构：
  
  1. 桂林电子科技大学数学与计算科学学院,广西,桂林,541004
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2017，
  
  Published Online：25 May 2017，
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XIONG Feng, HUANG Wentao. Small amplitude limit cycles for two classes of Liénard systems. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(3):66-70(2017)
DOI：

XIONG Feng, HUANG Wentao. Small amplitude limit cycles for two classes of Liénard systems. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(3):66-70(2017) DOI：

摘要

研究一类m=6

n=8和一类m=8

n=6的 Liénard系统在原点邻域内的极限环数目问题，证明了这两个系统在原点充分小邻域内分别能产生9个和8个极限环，首次给出了H(6

8)和H(8

6)的一个下界估计，即H(6

8)≥9

H(8

6)≥8。

Abstract

The number of limit cycles for classes of Liénard systems (m=6

n=8) and (m=8

n=6) in the neighborhood of the origin is studied. It is proved that the two systems can generate 9 and 8 limit cycles in a sufficiently small neighborhood of the origin

respectively. It is the first time that lower bound estimations of H(6

8)and H(8

6) are obtained

namely H(6

8)≥9

H(8

6)≥8.

关键词

Li&eacutenard系统奇点量细焦点极限环

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Related Author

XIONG Feng

HUANG Wentao

Wang Gaoxiong

徐兆

陈树辉

刘济科

朱洁华

Related Institution

School of Information Management and Engineering, Shanghai University of Finance and Economics

中山大学数学系

中山大学力学系

中山大学应用力学与工程系

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