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KAM theory for ultra-differentiable Hamiltonians

Hamiltonian systems, from topology to applications through analysis II November 26, 2018 - November 30, 2018

November 29, 2018 (02:00 PM PST - 03:00 PM PST)

Speaker(s): Abed Bounemoura (Université de Paris IX (Paris-Dauphine))
Location: MSRI: Simons Auditorium

Tags/Keywords

KAM theory

Primary Mathematics Subject Classification

37J40 - Perturbations, normal forms, small divisors, KAM theory, Arnolʹd diffusion

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

14-Bounemoura

Abstract

We propose an extension of the KAM theorem to a class of ultra-differentiable Hamiltonians (including analytic and Gevrey Hamiltonians) under an adapted arithmetic condition (corresponding to the Bruno-Rüssmann condition in the analytic case). This is joint work with Jacques Féjoz.

Supplements

	Notes 772 KB application/pdf	Download

Video/Audio Files

14-Bounemoura

H.264 Video	14-Bounemoura_.mp4 379 MB video/mp4	Download

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