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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 2, Pages 257–265
(Mi nd389)
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This article is cited in 2 scientific papers (total in 2 papers)
Integrability and stochastic behavior in some nonholonomic dynamics problems
Ivan A. Bizyaeva, Alexey O. Kazakovb
a Institute of Computer Science;
Laboratory of nonlinear analysis and the design of new types of vehicles, Udmurt State University, Izhevsk, Russia
b Research Institute for Applied Mathematics and Cybernetics, Nizhnii Novgorod, Russia
Abstract:
In this paper, we investigate the dynamics of systems describing the rolling without slipping and spinning (rubber rolling) of an ellipsoid on a plane and a sphere. We research these problems using Poincaré maps, which investigation helps to discover a new integrable case.
Keywords:
nonholonomic constraint, invariant measure, first integral, Poincaré map, integrability and chaos.
Received: 03.04.2013
Revised: 21.05.2013
Citation:
Ivan A. Bizyaev, Alexey O. Kazakov, “Integrability and stochastic behavior in some nonholonomic dynamics problems”, Nelin. Dinam., 9:2 (2013), 257–265
Linking options:
https://www.mathnet.ru/eng/nd389 https://www.mathnet.ru/eng/nd/v9/i2/p257
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| Statistics & downloads: |
| Abstract page: | 230 | | Full-text PDF : | 79 | | References: | 53 | | First page: | 1 |
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Citation in format AMSBIB
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