摘要
文章考虑一类分段光滑广义Lienard微分系统的极限环分支问题。利用一阶平均法,得到了该系统从中心的周期环域分支出极限环的最大个数。结果部分解决了J.Llibre在文[5]中所提出的猜想。
This paper deals with the limit cycle bifurcation for a class of piecewise generalized Lienard dii- ferential systems. Using the first order averaging method for piecewise smooth differential system, we obtain the maximum number of limit cycles which bifurcate from the periodic annulus of the center for the unperturbed system. Our result partially solved the conjecture which state in the paper[ 5 ].
作者
李时敏
郑健松
LI Shimin ZHENG Jiansong(School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China)
出处
《邵阳学院学报（自然科学版）》
2016年第4期11-15,共5页
Journal of Shaoyang University：Natural Science Edition
基金
国家自然科学基金青年科学基金资助项目(11401111)
关键词
极限环
Lienard微分系统
分段光滑微分系统
平均法
limit cycle
lienard differential system
piecewise smooth differential system
averaging method.
