Отправить статью по E-mail Bifurcations of relative equilibria of a heavy bead on a rotating parabolic bowl with dry friction
- Авторы: Burov A.A.1,2, Shalimova E.S.3
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Учреждения:
- Dorodnicyn Computing Center
- National Research University “Higher School of Economics,”
- Lomonosov Moscow State University
- Выпуск: Том 51, № 4 (2016)
- Страницы: 395-405
- Раздел: Article
- URL: https://journals.rcsi.science/0025-6544/article/view/162629
- DOI: https://doi.org/10.3103/S0025654416040038
- ID: 162629
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Аннотация
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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Об авторах
A. Burov
Dorodnicyn Computing Center; National Research University “Higher School of Economics,”
Автор, ответственный за переписку.
Email: aburov@ccas.ru
Россия, ul. Vavilova 40, Moscow, 119333; ul. Myasnitskaya 20, Moscow, 101000
E. Shalimova
Lomonosov Moscow State University
Email: aburov@ccas.ru
Россия, Moscow, 119992
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