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This paper can be regarded as a continuation of our previous work [1, 2] on the hierarchy of the dynamical behavior of nonholonomic systems. We consider different mechanical systems with nonholonomic constraints; in particular, we examine the existence of tensor invariants (laws of conservation) and their connection with the behavior of a system. Considerable attention is given to the possibility of conformally Hamiltonian representation of the equations of motion, which is mainly used for the integration of the considered systems. MSC2000 numbers: 34D20, 70E40, 37J35 DOI: 10.1134/S1560354708050079

Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems