Arnold diffusion for an a priori unstable Hamiltonian system with 3 + 1/2 degrees of freedom
In this work we study the Arnold diffusion phenomenon on a concrete example of an a priori unstable Hamiltonian system with 3+1/2 degrees of freedom. Thanks to our mechanism, based on iterations of scattering and inner maps, rather than ensuring the existence of Arnold diffusion, we can present exam...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2024 |
| 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:2072/537706 |
| Acceso en línea: | http://hdl.handle.net/2072/537706 |
| Access Level: | acceso abierto |
| Palabra clave: | Dynamical systems Invariant manifold Hamiltonian mechanics |
| Sumario: | In this work we study the Arnold diffusion phenomenon on a concrete example of an a priori unstable Hamiltonian system with 3+1/2 degrees of freedom. Thanks to our mechanism, based on iterations of scattering and inner maps, rather than ensuring the existence of Arnold diffusion, we can present examples of diffusing orbits and estimate the diffusing time for some of these orbits. Throughout this paper, we use analytical methods supplemented by numerical calculations. |
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