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On a Trivial Family of Noncommutative Integrable SystemsKeywords: bi-Hamiltonian geometry , noncommutative integrable systems 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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