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. © Pleiades Publishing, Ltd. 2007.
Reduction of almost poisson brackets for nonholonomic systems on lie groups
Garcia-Naranjo L.
2007
Abstract
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. © Pleiades Publishing, Ltd. 2007.File in questo prodotto:
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