Arnold diffusion for a complete family of perturbations with two independent harmonics
| Autor: | Delshams, Amadeu, Schaefer, Rodrigo G. |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 23 pages, 14 figures |
| Databáze: | arXiv |
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