Jedrzey Sniatycki

2500 University Drive N.W., Calgary, Alberta, T2N 1N4
Department of Mathematics and Statistics University of Calgary


Sniatycki J., Cushman R.
The aim of this paper is to give a brief description of singular reduction of non-holonomically constrained Hamiltonian systems.
Keywords: non-holonomic mechanics
Citation: Sniatycki J., Cushman R.,  Non-Holonomic Reduction of Symmetries, Constraints, and Integrability, Regular and Chaotic Dynamics, 2007, vol. 12, no. 6, pp. 615-621
Cushman R., Sniatycki J.
Nonholonomic Reduction for Free and Proper Actions
2002, vol. 7, no. 1, pp.  61-72
We study a nonholonomically constrained Hamiltonian system with a symmetry group which acts properly and freely on a constraint distribution. We show that the reduced dynamics is described by a generalized distributional Hamiltonian system. The general theory is illustrated by the example of Chaplygin's skate.
Citation: Cushman R., Sniatycki J.,  Nonholonomic Reduction for Free and Proper Actions, Regular and Chaotic Dynamics, 2002, vol. 7, no. 1, pp. 61-72

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