Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems

Bendjeddou, AhmedCheurfa, Rachid2022-04-042022-04-042017-03-14Bendjeddou, A., & Cheurfa, R. (2017). Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems. <i>Electronic Journal of Differential Equations, 2017</i>(71), pp. 1-7.1072-6691https://hdl.handle.net/10877/15598In the work by Gine and Grau [11], a planar differential system of degree nine admitting a nested configuration formed by an algebraic and a non-algebraic limit cycles explicitly given was presented. As an improvement, we obtain by a new method a similar result for a family of quintic polynomial differential systems.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalNon-algebraic limit cycleInvariant curvesPoincare return-mapFirst integralRiccati equationCoexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systemsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.