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

页码：183 / 193

页数：11

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