Limit cycles for a class of three-dimensional polynomial differential systems

被引：5
|
作者：
Llibre, Jaume [1 ]
Yu, Jiang
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2007年 / 13卷 / 04期
关键词：
linear center; limit cycle; averaging theory; polynomial differential system;
D O I：
10.1007/s10883-007-9025-5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Perturbing the system x = -y(1+x), y = x(l+x), z = 0 inside the family of polynomial differential systems of degree n in R-3, we obtain at most n(2) limit cycles using the first-order averaging theory. Moreover, there exist such perturbed systems having at least n(2) limit cycles.
引用
收藏
页码：531 / 539
页数：9
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