|Authors:||Gajić, Borislav||Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Hirota–Kimura type discretization odf the classical nonholonomic Suslov problem||Conference:||GDIS08, Belgrade, 2-7 September 2008||Issue Date:||2008||Rank:||M30||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.
|Keywords:||Hirota-Kimura type discretization | nonholonomic mechanics | Suslov problem | rigid body|
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