Geodesic
Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 4, pp. 829-854

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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, integrable system.
Mots-clés : invariant torus 
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     title = {Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds},
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A. V. Bolsinov; A. V. Borisov; I. S. Mamaev. Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 4, pp. 829-854. http://geodesic.mathdoc.fr/item/ND_2010_6_4_a7/