On the periodic orbits of the Third-order differential equation x ' ' '- x ' ' x'- x= F(x,x',x ' ')

In this paper we study the periodic orbits of the third-order differential equation x''' - µx'' + x' - µx = εF(x, x', x''), where ε is a small parameter and the function F is of class C2.

Detalhes bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Roberto, Lucy Any
Formato: artículo
Fecha de publicación:2013
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150660
Acesso em linha:https://ddd.uab.cat/record/150660
https://dx.doi.org/urn:doi:10.1016/j.aml.2012.10.017
Access Level:acceso abierto
Palavra-chave:Periodic solution
Averaging method
Third-order differential equation
Descrição
Resumo:In this paper we study the periodic orbits of the third-order differential equation x''' - µx'' + x' - µx = εF(x, x', x''), where ε is a small parameter and the function F is of class C2.