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arXiv · 0807.2966

Hirota-Kimura Type Discretization of the Classical Nonholonomic Suslov Problem

Vladimir Dragovic·Borislav Gajic
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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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Vladimir Dragovic, Borislav Gajic. 2008-07-18. Hirota-Kimura Type Discretization of the Classical Nonholonomic Suslov Problem. https://doi.org/10.1134/s1560354708040023

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