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Integrability of Nonholonomic Heisenberg Type Systems (1603.03528v2)
Published 11 Mar 2016 in nlin.SI, math-ph, math.DS, and math.MP
Abstract: We show that some modern geometric methods of Hamiltonian dynamics can be directly applied to the nonholonomic Heisenberg type systems. As an example we present characteristic Killing tensors, compatible Poisson brackets, Lax matrices and classical $r$-matrices for the conformally Hamiltonian vector fields obtained in a process of reduction of Hamiltonian vector fields by a nonholonomic constraint associated with the Heisenberg system.
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