Generic super-exponential stability of invariant tori in Hamiltonian systems

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Title:	Generic super-exponential stability of invariant tori in Hamiltonian systems
Author:	Bounemoura, Abed; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
Abstract:	In this article, we consider solutions starting close to some linearly stable invariant tori in an analytic Hamiltonian system and we prove results of stability for a super-exponentially long interval of time, under generic conditions. The proof combines classical Birkhoff normal forms and a new method to obtain generic Nekhoroshev estimates developed by the author and L. Niederman in another paper. We will mainly focus on the neighbourhood of elliptic fixed points, the other cases being completely similar.
Subject(s):	-Hamilton, Sistemes de
Rights:	open access Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús https://creativecommons.org/licenses/by-nc-nd/2.5/
Document type:	Article Prepublicació
Published by:	Centre de Recerca Matemàtica
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Uri:	https://ddd.uab.cat/record/60914