A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal frequencies being prescribed. This requires that the Hamiltonian system has as many parameters as the dimension of the...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/484463 |
| Acceso en línea: | http://hdl.handle.net/2072/484463 |
| Access Level: | acceso abierto |
| Palabra clave: | KAM theory Lower dimensional invariant tori Parametrization method 51 |
| Sumario: | We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal frequencies being prescribed. This requires that the Hamiltonian system has as many parameters as the dimension of the normal dynamics, and the algorithm must adjust these parameters. We illustrate the methodology with an implementation of the algorithm computing 2-dimensional elliptic tori in a system of 4 coupled anharmonic oscillators (4 degrees of freedom). |
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