The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles

被引：3
|
作者：
Gine, Jaume [1 ]
Llibre, Jaume [2 ]
Valls, Claudia [3 ]
机构：
[1] Univ Lleida, Dept Matemat, Avda Jaume 2 69, Lleida 25001, Catalonia, Spain
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
[3] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal
来源：
ADVANCED NONLINEAR STUDIES | 2018年 / 18卷 / 01期
关键词：
Cubic Systems; Limit Cycles; Invariant Algebraic Curves; 16TH HILBERT PROBLEM; INTEGRABILITY;
D O I：
10.1515/ans-2017-6033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we characterize all cubic polynomial differential systems in the plane having two circles as invariant algebraic limit cycles.
引用
收藏
页码：183 / 193
页数：11
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