Abed Bounemoura

activity

20092021

most citedEffective stability for Gevrey and finitely differentiable prevalent Hamiltonians

23 citations · 116 across the 28 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.DS2017

Hamiltonian perturbation theory for ultra-differentiable functions

Abed Bounemoura, Jacques Féjoz

Some scales of spaces of ultra-differentiable functions are introduced, having good stability properties with respect to infinitely many derivatives and compositions. They are well…

math.DS2017

KAM, $α$ -Gevrey regularity and the $α$ -Bruno-Rüssmann condition

Abed Bounemoura, Jacques Féjoz

We prove a new invariant torus theorem, for $α$ -Gevrey smooth Hamiltonian systems, under an arithmetic assumption which we call the $α$ -Bruno-Rüssmann condition, and which reduces…

Hamiltonian perturbation theory for ultra-differentiable functions

KAM, α-Gevrey regularity and the α-Bruno-Rüssmann condition

KAM, $α$ -Gevrey regularity and the $α$ -Bruno-Rüssmann condition