8 citations · 28 across the 15 of their papers we have counts for
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nlin.CD2020★ 1 cited
On the non-integrability and dynamics of discrete models of threads
Valery Kozlov, Ivan Polekhin
In the paper, we study the dynamics of planar -gons, which can be considered as discrete models of threads. The main result of the paper is that, under some weak assumptions, th…
math.DS2020★ 8 cited
The method of averaging for the Kapitza-Whitney pendulum
Ivan Polekhin
A generalization of the classical Kapitza pendulum is considered: an inverted planar mathematical pendulum with a vertically vibrating pivot point in a time-periodic horizontal for…