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Shengda Hu

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.
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, vol. 23, no. 2, pp. 193-211
Hu S., Leandro E., Santoprete M.
On the Topology of the Double Spherical Pendulum
2012, vol. 17, no. 1, pp.  36-53
This paper studies the topology of the constant energy surfaces of the double spherical pendulum.
Keywords: double spherical pendulum, topology of level sets, Morse theory, Gysin sequence
Citation: Hu S., Leandro E., Santoprete M.,  On the Topology of the Double Spherical Pendulum, Regular and Chaotic Dynamics, 2012, vol. 17, no. 1, pp. 36-53

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