A simple proof for a $C^\infty$ Nekhoroshev theorem
Dynamical Systems
2020-02-18 v1 Mathematical Physics
math.MP
Abstract
We prove a version of the Nekhoroshev's estimate on the stability times of the actions in close to integrable Hamiltonian systems. The proof we give is a variant of the original Nekhoroshev's proof and it consists in first conjugating, globally in the phase space, and up to a small remainder, the system to a normal form. Then we perform the geometric part of the proof in the normalized variables. As a result, we obtain a proof which is simpler than the usual ones.
Keywords
Cite
@article{arxiv.2002.06985,
title = {A simple proof for a $C^\infty$ Nekhoroshev theorem},
author = {Dario Bambusi and Beatrice Langella},
journal= {arXiv preprint arXiv:2002.06985},
year = {2020}
}