Centers of weight-homogeneous polynomial vector fields on the plane

We characterize all centers of a planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of a planar weight-homogeneous polynomial vector fields of degrees $6$ and $7$.

Detalhes bibliográficos
Autores: Giné, Jaume, Llibre, Jaume, Valls, Claudia
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Recursos:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/62948
Acesso em linha:https://doi.org/10.1090/proc/13393
http://hdl.handle.net/10459.1/62948
Access Level:acceso abierto
Palavra-chave:Hopf bifurcation
Chaotic System
Darboux integrability
Poincaré compactification
Weight-homogeneous polynomial differential Systems
Quasi-homogeneous polynomial differential systems
Descrição
Resumo:We characterize all centers of a planar weight-homogeneous polynomial vector fields. Moreover we classify all centers of a planar weight-homogeneous polynomial vector fields of degrees $6$ and $7$.