Differentiable invariant manifolds for partially hyperbolic tori and a lambda lemma
We consider differentiable maps having an invariant torus with normal behavior having a central part. We prove the existence and regularity of pseudostable manifolds and regularity with respect to parameters. Then we prove a lambda lemma in this setting for $C^2$ maps.
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2000 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/778 |
| Acesso em linha: | https://hdl.handle.net/2117/778 |
| Access Level: | acceso abierto |
| Palavra-chave: | Dynamical systems partially hyperbolic tori Differentiable invariant manifolds Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems |
| Resumo: | We consider differentiable maps having an invariant torus with normal behavior having a central part. We prove the existence and regularity of pseudostable manifolds and regularity with respect to parameters. Then we prove a lambda lemma in this setting for $C^2$ maps. |
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