Email this article Bifurcations of relative equilibria of a heavy bead on a rotating parabolic bowl with dry friction
- Authors: Burov A.A.1,2, Shalimova E.S.3
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Affiliations:
- Dorodnicyn Computing Center
- National Research University “Higher School of Economics,”
- Lomonosov Moscow State University
- Issue: Vol 51, No 4 (2016)
- Pages: 395-405
- Section: Article
- URL: https://ogarev-online.ru/0025-6544/article/view/162629
- DOI: https://doi.org/10.3103/S0025654416040038
- ID: 162629
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Abstract
The motion of a heavy bead on the surface of a parabolic bowl rotating at a constant angular velocity about its axis, which coincides with the vertical, is considered. It is assumed that the dry friction force acts between the bead and the bowl. The sets of nonisolated relative equilibria of the bead on the bowl are determined, and their dependence on the problem parameters is studied. The results are illustrated in the form of bifurcation diagrams.
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About the authors
A. A. Burov
Dorodnicyn Computing Center; National Research University “Higher School of Economics,”
Author for correspondence.
Email: aburov@ccas.ru
Russian Federation, ul. Vavilova 40, Moscow, 119333; ul. Myasnitskaya 20, Moscow, 101000
E. S. Shalimova
Lomonosov Moscow State University
Email: aburov@ccas.ru
Russian Federation, Moscow, 119992
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