Periodic orbits of the generalized Friedmann-Robertson-Walker Hamiltonian systems
We provide sufficient conditions for the existence of periodic solutions of the second order Hamiltonian system -x'' - λx = εV 'x (t, x), where ε is a small parameter, x ∈ R and V (t, x) is 2π-periodic in t. Moreover we provide two applications.
| Autores: | , |
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| 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:150625 |
| Acesso em linha: | https://ddd.uab.cat/record/150625 https://dx.doi.org/urn:doi:10.1007/s10509-012-1314-0 |
| Access Level: | acceso abierto |
| Palavra-chave: | Periodic solution Second order Hamiltonian system Averaging theory |
| Resumo: | We provide sufficient conditions for the existence of periodic solutions of the second order Hamiltonian system -x'' - λx = εV 'x (t, x), where ε is a small parameter, x ∈ R and V (t, x) is 2π-periodic in t. Moreover we provide two applications. |
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