On a Trivial Family of Noncommutative Integrable Systems

Symmetry Integrability and Geometry-Methods and Applications

article

Andrey V. Tsiganov¹ 

[1] St. Petersburg State University

关键词: bi-Hamiltonian geometry;    noncommutative integrable systems;   

DOI  :  10.3842/SIGMA.2013.015

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown