8 citations · 28 across the 15 of their papers we have counts for
4 papers · 1 filter
Averaging method and asymptotic solutions in some mechanical problems
Ivan Polekhin
In the paper we consider systems in oscillating force fields such that the classical method of averaging can be applied. We present sufficient conditions for the existence of force…
Remarks on forced oscillations in some systems with gyroscopic forces
Ivan Polekhin
In the paper we study the existence of a forced oscillation in two Lagrange systems with gyroscopic forces: a spherical pendulum in a magnetic field and a point on a rotating close…
On the Application of the Ważewski Method to the Problem of Global Stabilization
Ivan Polekhin
We consider a possible application of the Ważewski topological method to feedback control systems and to more general dynamical systems. We show how this method can be used to prov…
Some results on the existence of forced oscillations in mechanical systems
Ivan Polekhin
We present sufficient conditions for the existence of forced oscillations in non-autonomous mechanical systems. Previously, similar results were obtained for systems with friction.…