Reversible nilpotent centers with cubic homogeneous nonlinearities

We provide 13 non--topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.

Detalhes bibliográficos
Autores: Dukaric, Masa, Giné, Jaume, Llibre, Jaume
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
País:España
Recursos:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/58391
Acesso em linha:https://doi.org/10.1016/j.jmaa.2015.07.049
http://hdl.handle.net/10459.1/58391
Access Level:acceso abierto
Palavra-chave:Two dimensional differential systems
Nilpotent centers
Cubic polynomial differential systems
Phase portrait
Matemàtica
Mathematics
Descrição
Resumo:We provide 13 non--topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.