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Mathematical problems of nonlinearity
Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces
I. Yu. Polekhin Steklov Mathematical Institute of Russian Academy of Sciences,
ul. Gubkina 8, Moscow, 119991 Russia
Аннотация:
In this paper we study the existence of forced oscillations in two Lagrange systems with gyroscopic forces: a spherical pendulum in a magnetic field and a point on a rotating closed convex surface. We show how it is possible to prove the existence of forced oscillations in these systems provided the systems move in the presence of viscous friction.
Ключевые слова:
forced oscillation, spherical pendulum, gyroscopic force, friction, Wazewski method.
Поступила в редакцию: 09.12.2019 Принята в печать: 26.03.2020
Образец цитирования:
I. Yu. Polekhin, “Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces”, Rus. J. Nonlin. Dyn., 16:2 (2020), 343–353
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd714 https://www.mathnet.ru/rus/nd/v16/i2/p343
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