Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis

A polynomial differential system of degree 2 has no global centers (that is, centers defined in all the plane except the fixed point). In this paper we characterize the global centers of cubic Hamiltonian systems symmetric with respect to the x-axis, and such that the center has purely imaginary eig...

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Detalles Bibliográficos
Autores: Barreira, Luis|||0000-0003-4655-5792, Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:229100
Acceso en línea:https://ddd.uab.cat/record/229100
Access Level:acceso abierto
Palabra clave:Center
Cubic polynomial differential system
Global center
Hamiltonian system
Symmetry with respect to the x-axis
Descripción
Sumario:A polynomial differential system of degree 2 has no global centers (that is, centers defined in all the plane except the fixed point). In this paper we characterize the global centers of cubic Hamiltonian systems symmetric with respect to the x-axis, and such that the center has purely imaginary eigenvalues.