A global Nekhoroshev theorem for particles on the torus with time dependent Hamiltonian
Abstract
We prove a $C^\infty$ global version of Nekhoroshev theorem for time dependent Hamiltonians in $R^d\times T^d$. Precisely, we prove a result showing that for all times the actions of the unperturbed systems are bounded by a constant times $ \langle t\rangle^{\epsilon}$. We apply the result to the dynamics of a charged particle in $T^d$ subject to a time dependent electromagnetic field.
 Publication:

arXiv eprints
 Pub Date:
 January 2024
 DOI:
 10.48550/arXiv.2401.02822
 arXiv:
 arXiv:2401.02822
 Bibcode:
 2024arXiv240102822B
 Keywords:

 Mathematical Physics;
 Mathematics  Dynamical Systems;
 37J40;
 70K70;
 37J65