Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves
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.
Citation
Llibre, J., & Yu, J. (2018). Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves. Electronic Journal of Differential Equations, 2018(141), pp. 1-19.Rights License

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