Reduction of Almost Poisson Brackets for Nonholonomic Systems on Lie Groups

    2007, Volume 12, Number 4, pp.  365-388

    Author(s): García-Naranjo L. C.

    We present a systematic geometric construction of reduced almost Poisson brackets for nonholonomic systems on Lie groups with invariant kinetic energy metric and constraints. Our construction is of geometric interest in itself and is useful in the Hamiltonization of some classical examples of nonholonomic mechanical systems.
    Keywords: nonholonomic systems, almost Poisson brackets, hamiltonization, geometric reduction
    Citation: García-Naranjo L. C., Reduction of Almost Poisson Brackets for Nonholonomic Systems on Lie Groups, Regular and Chaotic Dynamics, 2007, Volume 12, Number 4, pp. 365-388
    DOI: 10.1134/S1560354707040028



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