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Mathematical problems of nonlinearity
A Particle on a Moving Plane with Coulomb Friction
O. Zubelevichab a Steklov Mathematical Institute of the Russian Academy of Sciences,
2-nd Krestovskii per. 12-179, Moscow, 129110 Russia
b Department of Theoretical Mechanics and Mechatronics,
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University,
Leninskiye Gory 1, GSP-1, Moscow, 119991 Russia
Аннотация:
This paper is concerned with the motion of a particle on a horizontal vibrating plane with Coulomb friction. It is proved that, when some constant force is added, the system has a periodic solution.
Ключевые слова:
classical mechanics, systems with friction, Filippov’s systems, periodic solutions, differential inclusions.
Поступила в редакцию: 30.06.2019 Принята в печать: 10.08.2019
Образец цитирования:
O. Zubelevich, “A Particle on a Moving Plane with Coulomb Friction”, Rus. J. Nonlin. Dyn., 15:3 (2019), 343–349
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd664 https://www.mathnet.ru/rus/nd/v15/i3/p343
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