L. Niederman, Generic double exponential stability of invariant Lagrangian tori in Hamiltonian systems, application to KAM theory. Part 2

giovedi 24 febbraio alle ore 14:45, Laurent Niederman (LMO-Universite Paris-Saclay and ASD/IMCCE-Observatoire de Paris), terrà il Seminario di Analisi Matematica dal titolo "Generic double exponential stability of invariant Lagrangian tori in Hamiltonian systems, application to KAM theory. Part 2".

Abstract.
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.

Il seminario avra' luogo in presenza presso il Dipartimento di Matematica e Fisica,
L.go S. L. Murialdo 1 - Aula 211

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