8 citations · 28 across the 15 of their papers we have counts for
Showing 2015 · math.DSShow all
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math.DS2015
On forced oscillations in groups of interacting nonlinear systems
Ivan Polekhin
Consider a periodically forced nonlinear system which can be presented as a collection of smaller subsystems with pairwise interactions between them. Each subsystem is assumed to b…
math.DS2015
On forced oscillations of a constrained relativistic particle
Ivan Polekhin
We consider the forced motion of a relativistic particle constrained on a curve and present sufficient conditions for periodic oscillations by means of an illustrative geometrical…
math.DS2015
Forced oscillations of a massive point on a compact surface with boundary
Ivan Polekhin
We present sufficient conditions for the existence of a periodic solution for a class of systems describing the periodically forced motion of a massive point on a compact surface w…