The KAM theorem through Dirichlet's box and Khintchine's transference principles
Dynamical Systems
2013-03-15 v1
Abstract
In this paper, we give a new proof of the classical KAM theorem which avoids small divisors and relies on two basic principles of Diophantine approximation: Dirichlet's box and Khintchine transference principles.
Cite
@article{arxiv.1303.3555,
title = {The KAM theorem through Dirichlet's box and Khintchine's transference principles},
author = {Abed Bounemoura},
journal= {arXiv preprint arXiv:1303.3555},
year = {2013}
}