On a trivial family of noncommutative integrable systems

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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.

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APA

Tsiganov, A. V. (2013). On a trivial family of noncommutative integrable systems. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 9. https://doi.org/10.3842/SIGMA.2013.015

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