Non-nested configuration of algebraic limit cycles in quadratic systems

被引：4

作者：

Chavarriga, J. ^{[1
]}

García, I. A. ^{[1
]}

Sorolla, J. ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 225卷 / 02期

关键词：

polynomial differential equations; Algebraic limit cycles;

D O I：

10.1016/j.jde.2006.01.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work deals with algebraic limit cycles of planar polynomial differential systems of degree two. More concretely, we show among other facts that a quadratic vector field cannot possess two non-nested algebraic limit cycles contained in different irreducible invariant algebraic curves. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：513 / 527

页数：15

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