Arnold's Diffusion: from the a priori unstable to the a priori stable case.

Patrick Bernard (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We expose some selected topics concerning the instability of the action variables in a priori unstable Hamiltonian systems, and outline a new strategy that may allow to apply these methods to a priori stable systems.

Domaines: Systèmes dynamiques [math.DS]

Patrick Bernard. Arnold's Diffusion: from the a priori unstable to the a priori stable case.. International Congress of Mathematicians, 2010, Hyderabad, India. pp.1680-1700. ⟨hal-00678681⟩