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Regular and Chaotic Dynamics, 2015, Volume 20, Issue 3, Pages 225–233
DOI: https://doi.org/10.1134/S1560354715030028 (Mi rcd30) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the Motion of a Heavy Material Point on a Rotating Sphere (Dry Friction Case)

Alexander A. Burovab, Ekaterina S. Shalimovac

a Dorodnicyn Computing center of the RAS, ul. Vavilova 40, Moscow
b Higher School of Economics, ul. Myasnitskaya 20, Moscow, 101000 Russia
c Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia
Citations (9)
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DOI: https://doi.org/10.1134/S1560354715030028
Abstract: The problem of motion of a heavy particle on a sphere uniformly rotating about a fixed axis is considered in the case of dry friction. It is assumed that the angle of inclination of the rotation axis is constant. The existence of equilibria in an absolute coordinate system and their linear stability are discussed. The equilibria in a relative coordinate system rotating with the sphere are also studied. These equilibria are generally nonisolated. The dependence of the equilibrium sets of this kind on the system parameters is also considered.
Keywords: dry friction, motion of a particle on a sphere, absolute and relative equilibria, bifurcations of equilibria.
Received: 10.01.2015
Bibliographic databases:
Document Type: Article
MSC: 70F40, 70K42, 70K50
Language: English
Citation: Alexander A. Burov, Ekaterina S. Shalimova, “On the Motion of a Heavy Material Point on a Rotating Sphere (Dry Friction Case)”, Regul. Chaotic Dyn., 20:3 (2015), 225–233
Citation in format AMSBIB
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\by Alexander A. Burov, Ekaterina S. Shalimova
\paper On the Motion of a Heavy Material Point on a Rotating Sphere (Dry Friction Case)
\jour Regul. Chaotic Dyn.
\yr 2015
\vol 20
\issue 3
\pages 225--233
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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