0
2013
Impact Factor

Shengda Hu

University Avenue West 75, Waterloo, Ontario, N2L 3C5 Canada
shu@wlu.ca
Department of Mathematics, Wilfrid Laurier University

Publications:

Hu S., Santoprete M.
Suslov Problem with the Clebsch–Tisserand Potential
2018, vol. 23, no. 2, pp.  193-211
Abstract
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
DOI:10.1134/S1560354718020053
Hu S., Leandro E., Santoprete M.
On the Topology of the Double Spherical Pendulum
2012, vol. 17, no. 1, pp.  36-53
Abstract
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
DOI:10.1134/S1560354712010042

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