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    Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces

    Received 09 December 2019; accepted 20 March 2020

    2020, Vol. 16, no. 2, pp.  343-353

    Author(s): Polekhin I. Y.

    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, Wa˙zewski method
    Citation: Polekhin I. Y., Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces, Rus. J. Nonlin. Dyn., 2020, Vol. 16, no. 2, pp.  343-353
    DOI:10.20537/nd200208


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