Notas sobre la difusión de Arnold
KAM theorem doesn't ensure stability for dynamical systems close to integrable Hamiltonian systems when the dimension of the phase space is more than four . In this case, irregular unstable orbits may occur, arbitrarily close to stable invariant tori . This is the Arnold diffusion . We study he...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1980 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/132772 |
| Acesso em linha: | https://hdl.handle.net/2445/132772 |
| Access Level: | acceso abierto |
| Palavra-chave: | Sistemes hamiltonians Hamiltonian systems |
| Resumo: | KAM theorem doesn't ensure stability for dynamical systems close to integrable Hamiltonian systems when the dimension of the phase space is more than four . In this case, irregular unstable orbits may occur, arbitrarily close to stable invariant tori . This is the Arnold diffusion . We study here some suf£icient conditions which guarantee the existence of this diffusion . |
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