# Hirota–Kimura Type Discretization of the Classical Nonholonomic Suslov Problem

*2008, Volume 13, Number 4, pp. 250-256*

Author(s):

**Dragović V., Gajić B.**

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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