Seminari del Dipartimento
Analisi Matematica Generic double exponential stability of invariant Lagrangian tori
in Hamiltonian systems, application to KAM theory. Part 2 Laurent Niederman
25-02-2022 - 14:45 Largo San Leonardo Murialdo,1 - Pal.C
We continue the presentation of a work with Abed Bounemoura and Bassam Fayad where we prove that generically, both in a topological and measure-theoretical sense, an invariant Lagrangian Diophantine torus of a Hamiltonian system is doubly exponentially stable in the sense that nearby solutions remain close to the torus for an interval of time which is doubly exponentially large with respect to the inverse of the distance to the torus. Elements of the proof will be exposed. |