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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 4, Pages 829–854
(Mi nd8)
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This article is cited in 12 scientific papers (total in 12 papers)
Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
A. V. Bolsinovab, A. V. Borisovc, I. S. Mamaevc a M. V. Lomonosov Moscow State University
b School of Mathematics, Loughborough University
c Institute of Computer Science
Abstract:
Hamiltonisation problem for non-holonomic systems, both integrable and non-integrable, is considered. This question is important for qualitative analysis of such systems and allows one to determine possible dynamical effects. The first part is devoted to the representation of integrable systems in a conformally Hamiltonian form. In the second part, the existence of a conformally Hamiltonian representation in a neighbourhood of a periodic solution is proved for an arbitrary measure preserving system (including integrable). General consructions are always illustrated by examples from non-holonomic mechanics.
Keywords:
conformally Hamiltonian system, nonholonomic system, invariant measure, periodic trajectory, invariant torus, integrable system.
Received: 17.12.2010
Citation:
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds”, Nelin. Dinam., 6:4 (2010), 829–854
Linking options:
https://www.mathnet.ru/eng/nd8 https://www.mathnet.ru/eng/nd/v6/i4/p829
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