Nonholonomic movements of gyroscope and wheeled systems / A. V. Vlakhova. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 5. P. 67-73 [Moscow Univ. Math. Bulletin. Vol. 68, N 5, 2013.].
The aim of this paper is to describe the motions of mechanical systems with small generalized velocities. By the example of the gyroscope and railway wheel pair, we consider the situations when the motions of such systems take place near the manifold defined by the primary Dirac constraints.
Key words: systems with small generalized velocities, nonholonomic motion, no-slip conditions, primary Dirac constraints.