Resumen de How to increase the energy (in a geodesic flow) with a small (quasiperiodic) forcing

Amadeu Delshams i Valdés , Rafael de la Llave Canosa , María Teresa Martínez-Seara i Alonso

• In this work we will describe the proof of the result that Hamiltonian systems consisting on a geodesic flow in some manifolds, verifying certain hypotheses, and perturbed by a quasi-periodic potential, have orbits of unbounded energy. We will assume that the frequency of the perturbation satisfies some Diophantine conditions, that the metric and the external perturbation are smooth enough, that the geodesic flow satisfies some mild hyperbolicity conditions and that the external potential satisfies some non-degeneracy conditions.