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

    2008, Vol. 4, No. 3, pp.  223-280

    Author(s): Borisov A. V., Mamaev I. S.

    This paper can be regarded as a continuation of our previous work [70,71] 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.
    Keywords: nonholonomic systems, implementation of constraints, conservation laws, hierarchy of dynamics, explicit integration
    Citation: Borisov A. V., Mamaev I. S., Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems, Rus. J. Nonlin. Dyn., 2008, Vol. 4, No. 3, pp.  223-280
    DOI:10.20537/nd0803001


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