output
20112022
most citedThe Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration

33 citations

9 papers

cond-mat.supr-con2022★ 9 cited

Modelling the processes of atom structure formation of a superconducting spin valve

A. V. Vakhrushev, A. Yu. Fedotov, Yu. B. Savva +1

The article considers the simulation of the formation of a multilayer nanocomposite, the combination of elements of which gives rise to the effect of a spin valve. The relevance an…

math.DS2021★ 6 cited

The motion of an unbalanced circular foil in the field of a point source

Elizaveta M. Artemova, Evgeny V. Vetchanin

Describing the phenomena of the surrounding world is an interesting task that has long attracted the attention of scientists. However, even in seemingly simple phenomena, complex d…

nlin.CD2018★ 10 cited

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…

nlin.CD2018★ 33 cited

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…

math-ph2017★ 19 cited

Reduction and relative equilibria for the 2-body problem in spaces of constant curvature

A. V. Borisov, L. C. García-Naranjo, I. S. Mamaev +1

We consider the two-body problem on surfaces of constant non-zero curvature and classify the relative equilibria and their stability. On the hyperbolic plane, for each q>0 we show…

math.DS2016★ 8 cited

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…