Hébergé par le projet Géométrie et Dynamique de l’IMJ
Orateur(s)
Luigi Chierchia - Roma 3,
Titre
Exponential smallness of the non torus set in nearly-integrable mechanical systems with 2 degrees of freedom
Date
24/01/2020
Horaire
14:00 à 16:00
Diffusion
Résume
In agreement with a conjecture of Arnold-Kozlov-Neishtadt, we prove
that, generically, the union of
Lagrangian tori in analytic mechanical nearly-integrable systems with
2 degrees of freedom fills, up to an exponentially small set, any region where the
frequencies do not vanish simultaneously.