%0 Journal Article %T On a Trivial Family of Noncommutative Integrable Systems %A Andrey V. Tsiganov %J Symmetry, Integrability and Geometry : Methods and Applications %D 2013 %I National Academy of Science of Ukraine %X 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. %K bi-Hamiltonian geometry %K noncommutative integrable systems %U http://dx.doi.org/10.3842/SIGMA.2013.015