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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 1, Pages 61–72
DOI: https://doi.org/10.1070/RD2002v007n01ABEH000196 (Mi rcd803) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Nonholonomic Systems

Nonholonomic Reduction for Free and Proper Actions

R. Cushmana, J. Śniatyckib

a Mathematics Institute, University of Utrecht, 3508TA, Utrecht, The Netherlands
b Department of Mathematics and Statistics, University of Calgary, 2500, University Dr. N.W., Calgary, Alberta, T2N 1N4 Canada
Citations (8)
DOI: https://doi.org/10.1070/RD2002v007n01ABEH000196
Abstract: 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.
Received: 09.01.2002
Bibliographic databases:
Document Type: Personalia
MSC: 70E18, 70E40
Language: English
Citation: R. Cushman, J. Śniatycki, “Nonholonomic Reduction for Free and Proper Actions”, Regul. Chaotic Dyn., 7:1 (2002), 61–72
Citation in format AMSBIB
\Bibitem{CusSni02}
\by R.~Cushman, J. \'Sniatycki
\paper Nonholonomic Reduction for Free and Proper Actions
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 1
\pages 61--72
\mathnet{http://mi.mathnet.ru/rcd803}
\crossref{https://doi.org/10.1070/RD2002v007n01ABEH000196}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1900055}
\zmath{https://zbmath.org/?q=an:1011.70017}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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