Normal forms \`a la Moser for aperiodically time-dependent Hamiltonians in the vicinity of a hyperbolic equilibrium
Dynamical Systems
2016-08-26 v2
Abstract
The classical theorem of Moser, on the existence of a normal form in the neighbourhood of a hyperbolic equilibrium, is extended to a class of real-analytic Hamiltonians with aperiodically time-dependent perturbations. A stronger result is obtained in the case in which the perturbing function exhibits a time decay.
Keywords
Cite
@article{arxiv.1503.05134,
title = {Normal forms \`a la Moser for aperiodically time-dependent Hamiltonians in the vicinity of a hyperbolic equilibrium},
author = {Alessandro Fortunati and Stephen Wiggins},
journal= {arXiv preprint arXiv:1503.05134},
year = {2016}
}