23 citations · 116 across the 28 of their papers we have counts for
5 papers · 2 filters
Effective stability for Gevrey and finitely differentiable prevalent Hamiltonians
Abed Bounemoura
For perturbations of integrable Hamiltonians systems, the Nekhoroshev theorem shows that all solutions are stable for an exponentially long interval of time, provided the integrabl…
An example of instability in high-dimensional Hamiltonian systems
Abed Bounemoura
In this article, we use a mechanism introduced by Herman, Marco and Sauzin to show that if a perturbation of a quasi-convex integrable Hamiltonian system is not too small with resp…
Improved exponential stability for near-integrable quasi-convex Hamiltonians
Abed Bounemoura, Jean-Pierre Marco
In this article, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this prov…
Improved exponential stability for near-integrable quasi-convex Hamiltonians
Abed Bounemoura, Jean-Pierre Marco
In this article, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this prov…
Nekhoroshev estimates for finitely differentiable quasi-convex Hamiltonians
Abed Bounemoura
A major result concerning perturbations of integrable Hamiltonian systems is given by Nekhoroshev estimates, which ensures exponential stability of all solutions provided the syste…