Some criteria for the existence of limit cycles for quadratic vector fields

被引：1

作者：

Chavarriga, J ^{[1
]}

García, IA ^{[1
]}

机构：

[1] Univ Lleida, Dept Matemat, Lleida 25001, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 282卷 / 01期

关键词：

D O I：

10.1016/S0022-247X(03)00149-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider real quadratic systems. We present new criteria for the existence and uniqueness of limit cycles for such systems by using Darbouxian particular solutions. Some results are based on the study of such systems in CP2. We also generalize the well-know result of Bautin on the nonexistence of limit cycles for quadratic Lotka-Volterra systems. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：296 / 304

页数：9

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