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