GLOBAL PHASE PORTRAITS FOR QUADRATIC SYSTEMS WITH A HYPERBOLA AND A STRAIGHT LINE AS INVARIANT ALGEBRAIC CURVES

被引：0

作者：

Llibre, Jaume ^{[1
]}

Yu, Jiang ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年

关键词：

Quadratic system; first integral; global phase portraits; invariant hperbola; invariant straight line; INTEGRALS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider a class of quadratic polynomial differential systems in the plane having a hyperbola and a straight line as invariant algebraic curves, and we classify all its phase portraits. Moreover these systems are integrable and we provide their first integrals.

引用

页数：19

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