University Avenue West 75, Waterloo, Ontario, N2L 3C5 Canada
Department of Mathematics, Wilfrid Laurier University
Hu S., Santoprete M.
Suslov Problem with the Clebsch–Tisserand Potential
2018, vol. 23, no. 2, pp. 193-211
In this paper, we study a nonholonomic mechanical system, namely, the Suslov problem with the Clebsch–Tisserand potential. We analyze the topology of the level sets defined by the integrals in two ways: using an explicit construction and as a consequence of the Poincaré–Hopf theorem. We describe the flow on such manifolds.