Ivan Polekhin
Publications:
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Polekhin I. Y.
A Note on Forced Oscillations in Systems on a Plane
2023, Vol. 19, no. 3, pp. 383-388
Abstract
A sufficient condition for the existence of forced oscillations in nonautonomous systems on
a plane is presented under the assumption that the magnitude of the nonautonomous perturbation
is small. An advantage of the results presented over analytic methods is that they can be
applied in degenerate systems as well.
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Polekhin I. Y.
Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces
2020, Vol. 16, no. 2, pp. 343-353
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.
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