Shades of hyperbolicity for Hamiltonians

• Tipo: Artigo em Revista Científica Internacional
• Data: 2013

Autores

Mario Bessa (Autor) Outra; Jorge Rocha (Autor) FCUP; Maria Joana Torres (Autor) Outra

Revista

Título: Nonlinearity

Vol. 26

Páginas: 2851-2873

ISSN: 0951-7715

Editora: Institute of Physics Publishing

Indexação

ISI Web of Knowledge - 14 Citações

Scopus - 14 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-006-6RM

DOI: 10.1088/0951-7715/26/10/2851

Abstract (EN): We prove that a Hamiltonian system H is an element of C-2(M, R) is globally hyperbolic if any of the following statements hold: 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 stable weakly-shadowable regular energy hypersurfaces are partially hyperbolic.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 23