KAM theory for ultra-differentiable Hamiltonians

Abed Bounemoura

We propose an extension of the KAM theorem to a class of ultra-differentiable Hamiltonians (including analytic and Gevrey Hamiltonians) under an adapted arithmetic condition (corresponding to the Bruno-Rüssmann condition in the analytic case). This is joint work with Jacques Féjoz.

https://www.msri.org/workshops/872/schedules/24904

MSRI- Hamiltonian systems, from topology to applications through analysis II