Phase portraits of uniform isochronous quartic centers

In this paper we classify the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin such that their nonlinear part is not homogeneous.

Detalhes bibliográficos
Autores: Itikawa, Jackson|||0000-0002-8268-0016, Llibre, Jaume|||0000-0002-9511-5999
Tipo de documento: artigo
Data de publicação:2015
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:145315
Acesso em linha:https://ddd.uab.cat/record/145315
https://dx.doi.org/urn:doi:10.1016/j.cam.2015.02.046
Access Level:Acceso aberto
Palavra-chave:Phase portrait
Polynomial vector field
Uniform isochronous center
Descrição
Resumo:In this paper we classify the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin such that their nonlinear part is not homogeneous.