|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Generalizations of classical integrable nonholonomic rigid body systems||Journal:||Journal of Physics A: Mathematical and General||Volume:||31||Issue:||49||First page:||9861||Last page:||9869||Issue Date:||11-Dec-1998||Rank:||M21||ISSN:||0305-4470||DOI:||10.1088/0305-4470/31/49/010||Abstract:||
Nonholonomic systems with an invariant measure: the Suslov, Chaplygin and Veselov-Veselova problem are considered. New families of integrable potential perturbations of these non-Hamiltonian systems are constructed We also obtain a similar result for a classical Hamiltonian system of the motion of a rigid body fixed at a point.
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