Birkhoff normal form for the periodic Toda lattice
Exactly Solvable and Integrable Systems
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
In this paper we compute the Birkhoff normal form of the periodic Toda lattice up to order four. As an application, we verify that Kolmogorov's nondegeneracy condition in the KAM theorem holds almost everywhere in phase space.
Keywords
Cite
@article{arxiv.nlin/0609045,
title = {Birkhoff normal form for the periodic Toda lattice},
author = {Andreas Henrici and Thomas Kappeler},
journal= {arXiv preprint arXiv:nlin/0609045},
year = {2007}
}
Comments
19 pages