Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves

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.

Bibliographic Details
Main Authors: Jaume Llibre, Jiang Yu
Format: Article
Language:English
Published: Texas State University 2018-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/141/abstr.html