On the stability of the set of hyperbolic closed orbits of a Hamiltonian

• Autores: Mário Bessa, Celia Ferreira, Jorge Rocha
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 149, Nº 2, 2010, págs. 373-383
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let H be a Hamiltonian, e ? H(M) ? R and ?H, e a connected component of H-1({e}) without singularities. A Hamiltonian system, say a triple (H, e, ?H, e), is Anosov if ?H, e is uniformly hyperbolic. The Hamiltonian system (H, e, ?H, e) is a Hamiltonian star system if all the closed orbits of ?H, e are hyperbolic and the same holds for a connected component of -1({?}), close to ?H, e, for any Hamiltonian , in some C2-neighbourhood of H, and ? in some neighbourhood of e.