69 citations · 763 across the 42 of their papers we have counts for
5 papers · 1 filter
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…
Dynamics of the Chaplygin ball on a rotating plane
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
This paper addresses the problem of the Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In this case, the equations of motion admit area…
The Chaplygin sleigh with friction moving due to periodic oscillations of an internal mass
Ivan A. Bizyaev, Alexey V. Borisov, Sergey P. Kuznetsov
For a Chaplygin sleigh moving in the presence of weak friction, we present and investigate two mechanisms of arising acceleration due to oscillations of an internal mass. In certai…
Fermi-like acceleration and power-law energy growth in nonholonomic systems
Ivan . A. Bizyaev, Alexey V. Borisov, Valery V. Kozlov +1
This paper is concerned with a nonholonomic system with parametric excitation - the Chaplygin sleigh with time-varying mass distribution. A detailed analysis is made of the problem…
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration
Ivan Bizyaev, Alexey Borisov, Ivan Mamaev
This paper is concerned with the Chaplygin sleigh with timevarying mass distribution (parametric excitation). The focus is on the case where excitation is induced by a material poi…