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

页码：531 / 539

页数：9

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