Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve

被引：0

作者：

Jaume LLIBRE ^{[1
]}

Claudia VALLS ^{[2
]}

机构：

[1] Departament de Matematiques,Universitat Autonoma de Barcelona

[2] Departamento de Matematica, Instituto Superior Tecnico,Universidade de

来源：

Acta Mathematica Sinica | 2018年 / 34卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, we study a new class of quadratic systems and classify all its phase portraits.More precisely, we characterize the class of all quadratic polynomial differential systems in the plane having a complex ellipse x2+ y2+ 1 = 0 as invariant algebraic curve. We provide all the different topological phase portraits that this class exhibits in the Poincar′e disc.

引用

页码：801 / 811

页数：11

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