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Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
Authors:Ilker E Colak  Jaume Llibre  Claudia Valls
Institution:1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain;2. Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal
Abstract:We provide normal forms and the global phase portraits in the Poincaré disk for all the Hamiltonian linear type centers of linear plus cubic homogeneous planar polynomial vector fields.
Keywords:34C07  34C08
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