Large normally hyperbolic cylinders in a priori stable Hamiltonian systems

Patrick Bernard (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We prove the existence of normally hyperbolic invariant cylinders in nearly integrable hamiltonian systems.

Domaines: Systèmes dynamiques [math.DS]

Patrick Bernard. Large normally hyperbolic cylinders in a priori stable Hamiltonian systems. Annales Henri Poincaré, 2010, 11 (5), pp.929-942. ⟨hal-00438208v2⟩