mechanical systems on fibered manifolds, nonholonomic constraints of the second order, constraint submanifold, canonical distribution, curvature of a trajectory

The aim of the contribution is to apply the concept of higher order mechanical systems subject to constraints of an arbitrary order developed in [4] to the problem of one particle in the plane with increasing curvature of its trajectory as a concrete example of a simple mechanical system with time-dependent constraint of the second order and to present numerical solutions of corresponding equations of motion.