Normal Form and Nekhoroshev stability for nearly-integrable Hamiltonian systems with unconditionally slow aperiodic time dependence
Dynamical Systems
2015-05-15 v3
Abstract
The aim of this paper is to extend the results of Giorgilli and Zehnder for aperiodic time dependent systems to a case of general nearly-integrable convex analytic Hamiltonians. The existence of a normal form and then a stability result are shown in the case of a slow aperiodic time dependence that, under some smallness conditions, is independent on the size of the perturbation.
Keywords
Cite
@article{arxiv.1311.6290,
title = {Normal Form and Nekhoroshev stability for nearly-integrable Hamiltonian systems with unconditionally slow aperiodic time dependence},
author = {Alessandro Fortunati and Stephen Wiggins},
journal= {arXiv preprint arXiv:1311.6290},
year = {2015}
}
Comments
Corrected typo in the title and statement of Lemma 3.8