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
收藏
页码：513 / 527
页数：15
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