KAM \`{a} la R
Dynamical Systems
2015-05-14 v2
Abstract
Recently R\"ussmann proposed a new new variant of KAM theory based on a slowly converging iteration scheme. It is the purpose of this note to make this scheme accessible in an even simpler setting, namely for analytic perturbations of constant vector fields on a torus. As a side effect the result may be the shortest complete KAM proof for perturbations of integrable vector fields available so far.
Cite
@article{arxiv.0909.1015,
title = {KAM \`{a} la R},
author = {Jürgen Pöschel},
journal= {arXiv preprint arXiv:0909.1015},
year = {2015}
}
Comments
11 pages, version 2.1