Exponentially small splitting of invariant manifolds of parabolic points
We consider families of one and a half degrees of freedom Hamiltonians with high frequency periodic dependence on time, which are perturbations of an autonomous system. We suppose that the origin is a parabolic xed point with non-diagonalizable linear part and that the unperturbed system has a homoc...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/96849 |
| Acceso en línea: | https://hdl.handle.net/2445/96849 |
| Access Level: | acceso abierto |
| Palabra clave: | Sistemes hamiltonians Teoria ergòdica Sistemes dinàmics diferenciables Equacions diferencials ordinàries Hamiltonian systems Ergodic theory Differentiable dynamical systems Ordinary differential equations |
| Sumario: | We consider families of one and a half degrees of freedom Hamiltonians with high frequency periodic dependence on time, which are perturbations of an autonomous system. We suppose that the origin is a parabolic xed point with non-diagonalizable linear part and that the unperturbed system has a homoclinic connexion associated to it. We provide a set of hypotheses under which the splitting is exponentially small and is given by the Poincaré-Melnikov function. |
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