Integrability conditions of a resonant saddle in Liénard-like complex systems

We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.

Detalhes bibliográficos
Autores: Giné, Jaume, Valls, Claudia
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:10459.1/58373
Acesso em linha:https://doi.org/10.1016/j.chaos.2015.11.026
http://hdl.handle.net/10459.1/58373
Access Level:acceso abierto
Palavra-chave:Integrable saddles
First integrals
Analytic integrability
Matemàtica
Mathematics
Descrição
Resumo:We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.