Nonholonomic reduction for free and proper actions (Q1860541)

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scientific article; zbMATH DE number 1873392
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Nonholonomic reduction for free and proper actions
scientific article; zbMATH DE number 1873392

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    Nonholonomic reduction for free and proper actions (English)
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    24 February 2003
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    The authors study a nonholonomically constrained Hamiltonian system with a symmetry group which acts properly and freely on a constraint distribution. They show that the reduced dynamics is described by a generalized distributional Hamiltonian system. The general theory is illustrated by the example of Chaplygin's sleigh.
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    nonholonomic constraint
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    Hamiltonian system
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    symmetry group
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    reduction
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    constraint distribution
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    generalized distributional Hamiltonian system
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    Chaplygin's sleigh
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