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Nekhoroshev estimates for steep real-analytic elliptic equilibrium points

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EllipticNekho.pdf (400.9Kb)
Date
2019
Dewey
Analyse
Sujet
real-analytic elliptic equilibrium points; Nekhoroshev
Journal issue
Nonlinearity
Volume
33
Number
1
Publication date
11-2019
Publisher
IOP Science
DOI
http://dx.doi.org/10.1088/1361-6544/ab4c89
URI
https://basepub.dauphine.fr/handle/123456789/20372
Collections
  • CEREMADE : Publications
Metadata
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Author
Bounemoura, Abed
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Fayad, Bassam
250709 Institut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG]
Niederman, Laurent
153 Institut de Mécanique Céleste et de Calcul des Ephémérides [IMCCE]
Type
Article accepté pour publication ou publié
Abstract (EN)
We prove that steep real-analytic elliptic equilibrium points are exponentially stable, generalizing results which were known only under a convexity assumption. This proves the general case of a conjecture of Nekhoroshev. This result is also an important step in our proof that generically, both in a topological and measure-theoretical sense, equilibrium points are super-exponentially stable.

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