On the periodic orbits of perturbed Hooke Hamiltonian systems with three degrees of freedom
We study periodic orbits of Hamiltonian differential systems with three degrees of freedom using the averaging theory. We have chosen the classical integrable Hamiltonian system with the Hooke potential and we study periodic orbits which bifurcate from the periodic orbits of the integrable system pe...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150512 |
| Acesso em linha: | https://ddd.uab.cat/record/150512 https://dx.doi.org/urn:doi:10.1016/j.geomphys.2011.12.017 |
| Access Level: | acceso abierto |
| Palavra-chave: | Hamiltonian system Hooke potential Periodic orbit Averaging theory |
| Resumo: | We study periodic orbits of Hamiltonian differential systems with three degrees of freedom using the averaging theory. We have chosen the classical integrable Hamiltonian system with the Hooke potential and we study periodic orbits which bifurcate from the periodic orbits of the integrable system perturbed with a non-autonomous potential. |
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