Arnold diffusion for a complete family of perturbations with two independent harmonics
We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kin...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/126910 |
| Acceso en línea: | https://hdl.handle.net/2117/126910 https://dx.doi.org/10.3934/dcds.2018261 |
| Access Level: | acceso abierto |
| Palabra clave: | Hamiltonian systems Arnold diffusion normally hyperbolic invariant manifolds scattering maps Sistemes hamiltonians Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided |
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