Llibre, JaumeYu, Jiang2022-02-162022-02-162018-07-11Llibre, 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. 1-19.1072-6691https://hdl.handle.net/10877/15341In 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.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalQuadratic systemFirst integralsGlobal phase portraitsInvariant hyperbolaInvariant straight lineArticle