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Article Dans Une Revue Nonlinearity Année : 2020

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.
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Dates et versions

hal-02074689 , version 1 (20-03-2019)

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Abed Bounemoura, Bassam Fayad, Laurent Niederman. Nekhoroshev estimates for steep real-analytic elliptic equilibrium points. Nonlinearity, 2020, ⟨10.1088/1361-6544/ab4c89⟩. ⟨hal-02074689⟩
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