33 citations · 40 across the 3 of their papers we have counts for
3 papers
math.DS2024★ 3 cited
Bifurcation analysis of the problem of a "rubber" ellipsoid of revolution rolling on a plane
Alexander Kilin, Elena Pivovarova
This paper is concerned with the problem of an ellipsoid of revolution rolling on a horizontal plane under the assumption that there is no slipping at the point of contact and no s…
math.DS2020★ 4 cited
The influence of the rolling resistance model on tippe top inversion
A. A. Kilin, E. N. Pivovarova
In this paper, we analyze the effect which the choice of a friction model has on tippe top inversion in the case where the resulting action of all dissipative forces is described n…
math.DS2015★ 33 cited
Dynamics and Control of a Spherical Robot with an Axisymmetric Pendulum Actuator
Tatyana B. Ivanova, Elena N. Pivovarova
This paper investigates the possibility of the motion control of a ball with a pendulum mechanism with non-holonomic constraints using gaits - the simplest motions such as accelera…