8 citations · 28 across the 15 of their papers we have counts for
Showing 2014 · math.DSShow all
2 papers · 2 filters
math.DS2014★ 7 cited
Periodic and falling-free motion of an inverted spherical pendulum with a moving pivot point
Ivan Polekhin
For the system of an inverted spherical pendulum with friction and a periodically moving pivot point we prove the existence of at least one periodic solution with the additional pr…
math.DS2014★ 1 cited
An inverted pendulum with a moving pivot point: examples of topological approach
Ivan Polekhin
Two examples concerning an application of topology in the study of the dynamics of an inverted plain mathematical pendulum with a pivot point moving along a horizontal straight lin…