Kolmogorov-Arnold-Moser Theorem
Dynamical Systems
2023-04-25 v1 Analysis of PDEs
Abstract
This article is about the proof of the celebrated KAM theorem as sketched out in \cite{KOL} Kolmogorov's original presentation to the ICM. The proof presented here has been detailed as an effort to clarify if Kolmogorov's argument can be made rigorous. This is a legitimate question because the published proof \cite{ARN} a few years later by his then student, the eminent mathematician V.I Arnold, did not follow the same plan
Cite
@article{arxiv.2304.11728,
title = {Kolmogorov-Arnold-Moser Theorem},
author = {Othmane Islah},
journal= {arXiv preprint arXiv:2304.11728},
year = {2023}
}