Hirota-Kimura type discretization of the classical nonholonomic Suslov problem |
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Authors: | V Dragović B Gajić |
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Institution: | (1) Mathematical Institute SANU, Kneza Mihaila 36, Belgrade, Serbia;(2) Grupo de Fisica Matematica, Complexo Interdisciplinar da Universidade de Lisboa, Av. Prof. Gama Pinto, 2, PT-1649-003 Lisboa, Portugal |
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Abstract: | We constructed Hirota-Kimura type discretization of the classical nonholonomic Suslov problem of motion of rigid body fixed
at a point. We found a first integral proving integrability. Also, we have shown that discrete trajectories asymptotically
tend to a line of discrete analogies of so-called steady-state rotations. The last property completely corresponds to well-known
property of the continuous Suslov case. The explicite formulae for solutions are given. In n-dimensional case we give discrete equations.
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Keywords: | Hirota-Kimura type discretization nonholonomic mechanics Suslov problem rigid body |
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