Effective stability for slow time-dependent near-integrable Hamiltonians and application
Dynamical Systems
2013-03-21 v1
Abstract
The aim of this note is to prove a result of effective stability for a non-autonomous perturbation of an integrable Hamiltonian system, provided that the perturbation depends slowly on time. Then we use this result to clarify and extend a stability result of Giorgilli and Zehnder for a mechanical system with an arbitrary time-dependent potential.
Cite
@article{arxiv.1303.5045,
title = {Effective stability for slow time-dependent near-integrable Hamiltonians and application},
author = {Abed Bounemoura},
journal= {arXiv preprint arXiv:1303.5045},
year = {2013}
}