Periodic orbits of a perturbed 3-dimensional isotropic oscillator with axial symmetry
We study the periodic orbits of a generalized Yang-Mills Hamiltonian H depending on a parameter β. Playing with the parameter β we are considering extensions of the Contopoulos and of the Yang-Mills Hamiltonians in a 3-dimensional space. This Hamiltonian consists of a 3-dimensional isotropic harmoni...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:169431 |
| Acceso en línea: | https://ddd.uab.cat/record/169431 https://dx.doi.org/urn:doi:10.1007/s11071-015-2371-z |
| Access Level: | acceso abierto |
| Palabra clave: | Periodic orbits Averaging Theory 3D isotropic oscillators 3D Yang-Mills Hamiltonian Stability of periodic orbits |
| Sumario: | We study the periodic orbits of a generalized Yang-Mills Hamiltonian H depending on a parameter β. Playing with the parameter β we are considering extensions of the Contopoulos and of the Yang-Mills Hamiltonians in a 3-dimensional space. This Hamiltonian consists of a 3-dimensional isotropic harmonic oscillator plus a homogeneous potential of fourth degree having an axial symmetry, which implies that the third component N of the angular momentum is constant. We prove that in each invariant space H = h. |
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