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