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Russian Journal of Nonlinear Dynamics, 2020, Volume 16, Number 2, Pages 343–353
DOI: https://doi.org/10.20537/nd200208 (Mi nd714) 		 
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
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DOI: https://doi.org/10.20537/nd200208
Abstract: 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.
Keywords: forced oscillation, spherical pendulum, gyroscopic force, friction, Wazewski method.
Received: 09.12.2019
Accepted: 26.03.2020
Bibliographic databases:
Document Type: Article
MSC: 34C25, 70H12
Language: English
Citation: I. Yu. Polekhin, “Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces”, Rus. J. Nonlin. Dyn., 16:2 (2020), 343–353
Citation in format AMSBIB
\Bibitem{Pol20}
\by I. Yu. Polekhin
\paper Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces
\jour Rus. J. Nonlin. Dyn.
\yr 2020
\vol 16
\issue 2
\pages 343--353
\mathnet{http://mi.mathnet.ru/nd714}
\crossref{https://doi.org/10.20537/nd200208}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4126039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85093897616}
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