23 citations · 116 across the 28 of their papers we have counts for
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math.DS2009
Generic Nekhoroshev theory without small divisors
Abed Bounemoura, Laurent Niederman
In this article, we present a new approach of Nekhoroshev theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems. The proof is an extension of…
math.DS2009
Generic super-exponential stability of invariant tori in Hamiltonian systems
Abed Bounemoura
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-exponen…