Suslov Problem with the Clebsch–Tisserand Potential

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...

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Veröffentlicht in:	Regular & chaotic dynamics 2018-03, Vol.23 (2), p.193-211
Hauptverfasser:	Hu, Shengda, Santoprete, Manuele
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical Systems and Ergodic Theory Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Zusammenfassung:	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.
ISSN:	1560-3547 1560-3547 1468-4845
DOI:	10.1134/S1560354718020053