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.
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收藏
页码：801 / 811
页数：11
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