Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/25416
Título: | Shades of hyperbolicity for Hamiltonians |
Autor(es): | Bessa, Mário Rocha, Jorge Torres, M. J. |
Palavras-chave: | Hamiltonian vector field Structural stability Dominated splitting Elliptic closed orbits |
Data: | 2013 |
Editora: | IOP Publishing |
Revista: | Nonlinearity |
Resumo(s): | We prove that a Hamiltonian system H \in C^2(M,R) is globally hyperbolic if any of the following statements holds: H is robustly topologically stable; H is stably shadowable; H is stably expansive; and H has the stable weak specification property. Moreover, we prove that, for a C^2-generic Hamiltonian H, the union of the partially hyperbolic regular energy hypersurfaces and the closed elliptic orbits, forms a dense subset of M. As a consequence, any robustly transitive regular energy hypersurface of a C^2-Hamiltonian is partially hyperbolic. Finally, we prove that stably weakly shadowable regular energy hypersurfaces are partially hyperbolic. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/25416 |
DOI: | 10.1088/0951-7715/26/10/2851 |
ISSN: | 0951-7715 |
Versão da editora: | http://stacks.iop.org/0951-7715/26/2851 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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BRT_SHH.pdf Acesso restrito! | 510,45 kB | Adobe PDF | Ver/Abrir |