On the 'hidden' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
The effects of quasi-periodicity on the splitting of invariant manifolds are examined. We have found that some harmonics, that could be expected to be dominant in some ranges of the perturbation parameter, actually are nondominant. It is proved that, under reasonable conditions, this is due to the a...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/192808 |
| Acceso en línea: | https://hdl.handle.net/2445/192808 |
| Access Level: | acceso abierto |
| Palabra clave: | Sistemes dinàmics diferenciables Pertorbació (Matemàtica) Sistemes hamiltonians Òrbites Differentiable dynamical systems Perturbation (Mathematics) Hamiltonian systems Orbits |
| Sumario: | The effects of quasi-periodicity on the splitting of invariant manifolds are examined. We have found that some harmonics, that could be expected to be dominant in some ranges of the perturbation parameter, actually are nondominant. It is proved that, under reasonable conditions, this is due to the arithmetic properties of the frequencies. |
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