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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 1, Pages 127–142
(Mi nd60)
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This article is cited in 7 scientific papers (total in 7 papers)
Hamiltonian representation and integrability of the Suslov problem
A. V. Borisov, A. A. Kilin, I. S. Mamaev Institute of Computer Science
Abstract:
We consider the problems of Hamiltonian representation and integrability of the nonholonomic Suslov system and its generalization suggested by S. A. Chaplygin. These aspects are very important for understanding the dynamics and qualitative analysis of the system. In particular, they are related to the nontrivial asymptotic behaviour (i.e. to some scattering problem). The paper presents a general approach based on the study of the hierarchy of dynamical behaviour of nonholonomic systems.
Keywords:
Hamiltonian system, Poisson bracket, nonholonomic constraint, invariant measure, integrability.
Received: 11.11.2009
Citation:
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Hamiltonian representation and integrability of the Suslov problem”, Nelin. Dinam., 6:1 (2010), 127–142
Linking options:
https://www.mathnet.ru/eng/nd60 https://www.mathnet.ru/eng/nd/v6/i1/p127
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Abstract page: | 355 | Full-text PDF : | 144 | References: | 85 | First page: | 1 |
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