In this paper we discuss conditions for the existence of the Jacobi integral (that generalizes
energy) in systems with inhomogeneous and nonholonomic constraints. As an example, we …

In nonholonomic mechanical systems with constraints that are affine (linear
nonhomogeneous) functions of the velocities, the energy is typically not a first integral. It was …

In this paper, we present some results on chaotic dynamics in the Suslov problem which
describe the motion of a heavy rigid body with a fixed point, subject to a nonholonomic …

This paper presents a numerical study of the chaotic dynamics of a dynamically asymmetric
unbalanced ball (Chaplygin top) rolling on a plane. It is well known that the dynamics of …

Energy is in general not conserved for mechanical nonholonomic systems with affine
constraints. In this article we point out that, nevertheless, in certain cases, there is a …

Virtual constraints are relations imposed on a control system via feedback control that
become invariant via feedback, as opposed to physical constraints acting on the system …

The main theme of the article is the study of discrete systems of material points subjected to
constraints not only of a geometric type (holonomic constraints) but also of a kinematical …

In this paper, a geometric field theory of dislocation dynamics and finite plasticity in single
crystals is formulated. Starting from the multiplicative decomposition of the deformation …

An Inhomogeneous Chaplygin Sleigh Page 1 ISSN 1560-3547, Regular and Chaotic
Dynamics, 2017, Vol. 22, No. 4, pp. 435–447. c © Pleiades Publishing, Ltd., 2017. An …

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 …