On the motion of a bead on a rough hoop freely rotating around a vertical diameter
- 作者: Burov А.А.1, Nikonov V.I.1, Nikonova Е.А.1,2
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隶属关系:
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Sirius University of Science and Technology Sirius Federal territory
- 期: 编号 6 (2024)
- 页面: 119-134
- 栏目: Articles
- URL: https://ter-arkhiv.ru/1026-3519/article/view/682274
- DOI: https://doi.org/10.31857/S1026351924060078
- EDN: https://elibrary.ru/TZAGJM
- ID: 682274
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详细
We consider the problem of the motion of a heavy bead strung on a rough heavy hoop freely rotating around a vertical diameter. Non-isolated sets of steady state motions of the system are identified, and their bifurcation diagrams are constructed. The dependence of these solutions on an essential parameter of the problem—the constant of the cyclic integral—is studied. The results obtained are compared with the results obtained previously for the case when a rough hoop rotates around a vertical diameter with a constant angular velocity. Characteristic phase portraits are constructed for various combinations of system parameters.
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作者简介
А. Burov
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: jtm@yandex.ru
俄罗斯联邦, Moscow
V. Nikonov
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Email: nikon_v@list.ru
俄罗斯联邦, Moscow
Е. Nikonova
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Sirius University of Science and Technology Sirius Federal territory
Email: nikonova.ekaterina.a@gmail.com
俄罗斯联邦, Moscow; Sochi
参考
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