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.
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页数：19
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