Nonholonomic reduction for free and proper actions
type: Item
instance of: scholarly article
title: Nonholonomic reduction for free and proper actions
zbMATH Open document ID: 1011.70017
author: Richard Cushman
author: J. Śniatycki
published in: Regular and Chaotic Dynamics
publication date: 2003-02-24T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 70H33
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 70E18
zbMATH DE Number: 1873392
zbMATH Keywords: nonholonomic constraint
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: symmetry group
zbMATH Keywords: reduction
zbMATH Keywords: constraint distribution
zbMATH Keywords: generalized distributional Hamiltonian system
zbMATH Keywords: Chaplygin's sleigh
reviewed by: I. A. Taimanov
MaRDI profile type: Publication
full work available at URL: rd2002v007n01abeh000196
OpenAlex ID: W4242488364
DOI: 10.1070/RD2002V007N01ABEH000196
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description: scientific article; zbMATH DE number 1873392