Hirota-Kimura Type Discretization of the Classical Nonholonomic Suslov Problem
Mathematical Physics
2009-11-13 v1 Dynamical Systems
math.MP
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.
Cite
@article{arxiv.0807.2966,
title = {Hirota-Kimura Type Discretization of the Classical Nonholonomic Suslov Problem},
author = {Vladimir Dragovic and Borislav Gajic},
journal= {arXiv preprint arXiv:0807.2966},
year = {2009}
}
Comments
10 pages, 4 pictures