On a Trivial Family of Noncommutative Integrable Systems

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...

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Bibliographic Details
Main Author: Andrey V. Tsiganov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.015