Periodic orbits of perturbed elliptic oscillators in 6D via averaging theory
We provide sufficient conditions on the energy levels to guarantee the existence of periodic orbits for the perturbed elliptic oscillators in 6D using the averaging theory. We give also an analytical estimation of the shape of these periodic orbits parameterized by the energy. The Hamiltonian system...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:169495 |
| Acceso en línea: | https://ddd.uab.cat/record/169495 https://dx.doi.org/urn:doi:10.1007/s10509-016-2930-x |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Galactic dynamics Periodic orbits Perturbed elliptic oscillators |
| Sumario: | We provide sufficient conditions on the energy levels to guarantee the existence of periodic orbits for the perturbed elliptic oscillators in 6D using the averaging theory. We give also an analytical estimation of the shape of these periodic orbits parameterized by the energy. The Hamiltonian system here studied comes either from the analyze of the galactic dynamics, or from the motion of the atomic particles in physics. |
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