LIMIT CYCLES OF THE GENERALIZED POLYNOMIAL LINARD DIFFERENTIAL SYSTEMS

被引：0
|
作者：
Amel Boulfoul [1 ]
Amar Makhlouf [2 ]
机构：
[1] Dept. of Math., 20 August 1955 University
[2] Dept. of Math., LMA Laboratory, Badji Mokhtar University
来源：
AnnalsofAppliedMathematics | 2016年 / 32卷 / 03期
关键词：
limit cycle; periodic orbit; Li′enard differential system; averaging theory;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
Using the averaging theory of first and second order we study the maximum number of limit cycles of generalized Linard differential systems{x = y + εhl1(x) + ε2hl2(x),y=-x- ε(fn1(x)y2p+1+ gm1(x)) + ∈2(fn2(x)y2p+1+ gm2(x)),which bifurcate from the periodic orbits of the linear center x = y,y=-x,where ε is a small parameter.The polynomials hl1and hl2have degree l;fn1and fn2have degree n;and gm1,gm2have degree m.p ∈ N and[·]denotes the integer part function.
引用
收藏
页码：221 / 233
页数：13
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