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Regular and Chaotic Dynamics, 2008, Volume 13, Issue 5, Pages 443–490
DOI: https://doi.org/10.1134/S1560354708050079 (Mi rcd595) 		 
This article is cited in 105 scientific papers (total in 105 papers)

Nonholonomic mechanics

Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems

A. V. Borisov, I. S. Mamaev

Institute of Computer Science, Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
Citations (105)
DOI: https://doi.org/10.1134/S1560354708050079
Abstract: This paper can be regarded as a continuation of our previous work [1, 2] on the hierarchy of the dynamical behavior of nonholonomic systems. We consider different mechanical systems with nonholonomic constraints; in particular, we examine the existence of tensor invariants (laws of conservation) and their connection with the behavior of a system. Considerable attention is given to the possibility of conformally Hamiltonian representation of the equations of motion, which is mainly used for the integration of the considered systems.
Keywords: nonholonomic systems, implementation of constraints, conservation laws, hierarchy of dynamics, explicit integration.
Received: 04.04.2008
Accepted: 30.08.2008
Bibliographic databases:
Document Type: Personalia
MSC: 34D20, 70E40, 37J35
Language: English
Citation: A. V. Borisov, I. S. Mamaev, “Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems”, Regul. Chaotic Dyn., 13:5 (2008), 443–490
Citation in format AMSBIB
\Bibitem{BorMam08}
\by A.~V.~Borisov, I.~S.~Mamaev
\paper Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems
\jour Regul. Chaotic Dyn.
\yr 2008
\vol 13
\issue 5
\pages 443--490
\mathnet{http://mi.mathnet.ru/rcd595}
\crossref{https://doi.org/10.1134/S1560354708050079}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2448343}
\zmath{https://zbmath.org/?q=an:1229.70038}
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    • This publication is cited in the following 105 articles:
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