Polekhin I. Y.
Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces
2020, Vol. 16, no. 2, pp. 343-353
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.