Suslov Problem with the Clebsch–Tisserand Potential

2018, Volume 23, Number 2, pp. 193-211

Author(s): Hu S., Santoprete M.

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.

Keywords: Suslov Problem, topology of level sets, nonholonomic systems, rigid body, Chaplygin systems

Citation: Hu S., Santoprete M., Suslov Problem with the Clebsch–Tisserand Potential, Regular and Chaotic Dynamics, 2018, Volume 23, Number 2, pp. 193-211

DOI: 10.1134/S1560354718020053

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