On a class of global centers of linear systems with quintic homogeneous nonlinearities

One of the classical and difficult problems in the qualitative theory of differential systems in the plane is the characterization of their centers. In this paper we characterize the linear and nilpotent global centers of polynomial differential systems with quintic homogeneous terms, with the symme...

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Detalles Bibliográficos
Autores: García Saldaña, Johanna Denise|||0000-0002-4475-5064, Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:275500
Acceso en línea:https://ddd.uab.cat/record/275500
Access Level:acceso abierto
Palabra clave:Center
Global center
Quintic polynomial differential system
Descripción
Sumario:One of the classical and difficult problems in the qualitative theory of differential systems in the plane is the characterization of their centers. In this paper we characterize the linear and nilpotent global centers of polynomial differential systems with quintic homogeneous terms, with the symmetry (x, y, t) → (-x, y, -t) and without infinite singular points.