Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems

Llibre, JaumeValls, Claudia2022-01-312022-01-312018-03-31Llibre, J., & Valls, C. (2018). Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems. <i>Electronic Journal of Differential Equations, 2018</i>(83), pp. 1-7.1072-6691https://hdl.handle.net/10877/15250We study the normal forms of polynomial systems having a set of invariant algebraic curves with singular points. We provide sufficient conditions for the existence of hyperbolic algebraic limit cycles.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalLimit cyclesPolynomial vector fieldsAlgebraic limit cyclesNormal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systemsArticle