Nekhoroshev estimates for steep real-analytic elliptic equilibrium points
Résumé
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.
Domaines
Systèmes dynamiques [math.DS]Origine | Fichiers produits par l'(les) auteur(s) |
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