KAM à la R

Abstract

Recently Rüssmann 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.

arXiv comment11 pages, version 2.1

Cited by in corpus (2)

• A proof of the invariant torus theorem of Kolmogorov
• Spectral stability and semiclassical measures for renormalized KAM systems