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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2008, Volume 4, Number 3, Pages 223–280
(Mi nd235)
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This article is cited in 15 scientific papers (total in 17 papers)
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
A. V. Borisovabc, I. S. Mamaevabc a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Udmurt State University
c Institute of Computer Science
Abstract:
This paper can be regarded as a continuation of our previous work [70, 71] 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: 13.06.2008
Citation:
A. V. Borisov, I. S. Mamaev, “Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems”, Nelin. Dinam., 4:3 (2008), 223–280
Linking options:
https://www.mathnet.ru/eng/nd235 https://www.mathnet.ru/eng/nd/v4/i3/p223
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Abstract page: | 399 | Full-text PDF : | 162 | First page: | 1 |
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