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Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems
Authors:Jaume Llibre
Institution:a Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain
b Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1049-001, Lisboa, Portugal
Abstract:In this paper we classify the centers, the cyclicity of their Hopf bifurcation and the isochronicity of the polynomial differential systems in R2 of degree d that in complex notation z=x+iy can be written as
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Keywords:Centers  Isochronous centers  Polynomial vector fields  Cyclicity
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