Suslov Problem with the Clebsch–Tisserand Potential


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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.

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Shengda Hu

Department of Mathematics

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Email: shu@wlu.ca
加拿大, Waterloo, ON

Manuele Santoprete

Department of Mathematics

Email: shu@wlu.ca
加拿大, Waterloo, ON

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