The non-existence, existence and uniqueness of limit cycles for quadratic polynomial differential systems

被引：6

作者：

Llibre, Jaume ^{[1
]}

Zhang, Xiang ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Shanghai Jiao Tong Univ, MOE LSC, Dept Math, Shanghai 200240, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2019年 / 149卷 / 01期

关键词：

quadratic systems; quadratic polynomial differential system; limit cycles; NUMBER;

D O I：

10.1017/S0308210517000221

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide sufficient conditions for the non-existence, existence and uniqueness of limit cycles surrounding a focus of a quadratic polynomial differential system in the plane.

引用

页码：1 / 14

页数：14

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