Limit cycles of a class of polynomial systems and its applications

被引：0

作者：

Feng, HY ^{[1
]}

Xu, R ^{[1
]}

Yang, PH ^{[1
]}

Wang, ZQ ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China

来源：

DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2004年

关键词：

polynomial system; limit cycle; existence; uniqueness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence and uniqueness of limit cycles for the following polynomial system dx/dt = -y(alpha)(1 + y)(alpha) + dx(alpha)(1 + y)(alpha) + lx(alpha+1)(1 + y)(alpha-1) - my(alpha+1)(1 + y)(alpha), dy/dt = x(alpha)[(1 + y)(alpha) + (ax)(alpha)] (0 less than or equal to m less than or equal to 1). Our results in this paper extend and improve the corresponding results in [1]-[3].

引用

页码：95 / 100

页数：6