46 citations · 111 across the 33 of their papers we have counts for
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D'Alembert sums for vibrating bar with viscous ends
Vojin Jovanovic, Sergiy Koshkin
We describe a new method for finding analytic solutions to some initial-boundary problems for partial differential equations with constant coefficients. The method is based on expa…
Synchronization of Huygens' clocks and the Poincare method
Vojin Jovanovic, Sergiy Koshkin
We study two models of connected pendulum clocks synchronizing their oscillations, a phenomenon originally observed by Huygens. The oscillation angles are assumed to be small so th…
Explicit solution for vibrating bar with viscous boundaries and internal damper
Vojin Jovanovic, Sergiy Koshkin
We investigate longitudinal vibrations of a bar subjected to viscous boundary conditions at each end, and an internal damper at an arbitrary point along the bar's length. The syste…
Gauge theory of Faddeev-Skyrme functionals
Sergiy Koshkin
We study geometric variational problems for a class of nonlinear sigma-models in quantum field theory. Mathematically, one needs to minimize an energy functional on homotopy classe…
Homogeneous spaces and Faddeev-Skyrme models
Sergiy Koshkin
We study geometric variational problems for a class of effective models in quantum field theory known as Faddeev-Skyrme models. Mathematically one considers minimizing an energy fu…