Bifurcation of Limit Cycles for a Class of Discontinuous Generalized Lienard Differential System

LI Shimin

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Bifurcation of Limit Cycles for a Class of Discontinuous Generalized Lienard Differential System

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- Bifurcation of Limit Cycles for a Class of Discontinuous Generalized Lienard Differential System
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 54, Issue 5, Pages: 15-18(2015)
- 作者机构：
  
  广东财经大学数学与统计学院,广东,广州,510320
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2015，
  
  Published Online：25 September 2015，
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LI Shimin. Bifurcation of Limit Cycles for a Class of Discontinuous Generalized Lienard Differential System. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(5):15-18(2015)
DOI：

LI Shimin. Bifurcation of Limit Cycles for a Class of Discontinuous Generalized Lienard Differential System. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(5):15-18(2015) DOI：

摘要

利用不连续微分系统的一阶平均法，研究从一类广义Lienard微分系统中心的周期环域分支出极限环的最大个数问题。通过对该系统的中心进行分段连续的多项式扰动，得到了该系统从中心的周期环域分支出极限环最大个数的线性估计。结果表明：不连续Lienard微分系统比其对应的连续微分系统可以分支出更多的极限环。

Abstract

Using the first order averaging method for discontinuous differential system

the maximum number of limit cycles which bifurcate from the periodic annulus of the center for a class of generalized Lienard differential system is studied. By piecewise smooth polynomial perturbating

the linear estimation of the maximum number of limit cycles which bifurcate from the periodic annulus of this center is obtained. The result shows that there are more limit cycles which can bifurcate from the discontinuous Lienard differential system than the continuous one.

关键词

极限环Lienard微分系统不连续微分系统平均法

Keywords

limit cycleLienard differential systemdiscontinuous differential systemaveraging method

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Related Institution

School of Mathematical Sciences， Liaocheng University

School of Aeronautics and Astronautics， Sun Yat-sen University

Department of Applied Mechanics and engineering, Zhongshan University, Cuangzhou

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