Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves
Date
2018-07-11
Authors
Llibre, Jaume
Yu, Jiang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Quadratic system, First integrals, Global phase portraits, Invariant hyperbola, Invariant straight line
Citation
Llibre, J., & Yu, J. (2018). Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves. <i>Electronic Journal of Differential Equations, 2018</i>(141), pp. 1-19.
Rights
Attribution 4.0 International