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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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150512 |
| Acceso en línea: | https://ddd.uab.cat/record/150512 https://dx.doi.org/urn:doi:10.1016/j.geomphys.2011.12.017 |
| Access Level: | acceso abierto |
| Palabra clave: | Hamiltonian system Hooke potential Periodic orbit Averaging theory |
| Sumario: | 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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