Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems
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In the work by Gine and Grau , 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.
CitationBendjeddou, A., & Cheurfa, R. (2017). Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems. Electronic Journal of Differential Equations, 2017(71), pp. 1-7.
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