On a Trivial Family of Noncommutative Integrable Systems
Exactly Solvable and Integrable Systems
2013-02-25 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these deformations to construct a new trivial family of noncommutative integrable systems.
Keywords
Cite
@article{arxiv.1301.1432,
title = {On a Trivial Family of Noncommutative Integrable Systems},
author = {Andrey V. Tsiganov},
journal= {arXiv preprint arXiv:1301.1432},
year = {2013}
}