69 citations · 228 across the 12 of their papers we have counts for
13 papers
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…
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…
Circular orbits of a ball on a rotating conical turntable
Alexey V. Borisov, Tatiana B. Ivanova, Alexander A. Kilin +1
This paper is concerned with the study of the rolling without slipping of a dynamically symmetric (in particular, homogeneous) heavy ball on a cone which rotates uniformly about it…
Comments on the paper "Terminal retrograde turn of rolling rings"
Alexey V. Borisov, Alexander A. Kilin, Yury L. Karavaev
Mir Abbas Jalali et al. [Phys. Rev. E 92, 032913(2015)] explained the retrograde turn of rings by aerodynamic phenomena due to the presence of a central hole in the ring as opposed…
Control of body motion in an ideal fluid using the internal mass and the rotor in the presence of circulation around the body
Evgenii V. Vetchanin, Alexander A. Kilin
In this paper we study the controlled motion of an arbitrary two-dimensional body in an ideal fluid with a moving internal mass and an internal rotor in the presence of constant ci…
Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra?
Alexey V. Bolsinov, Alexander A. Kilin, Alexey O. Kazakov
The phenomenon of a topological monodromy in integrable Hamiltonian and nonholonomic systems is discussed. An efficient method for computing and visualizing the monodromy is develo…