A complete study of the stability of static equilibrium in the system was carried out using the
explicitly obtained function of the potential energy of the magnetic system, which consists of …

This work studies the symmetries, the associated momentum map, and relative equilibria of
a mechanical system consisting of a small axisymmetric magnetic body-dipole in an also …

Let us consider the new opportunities provided by cybernetics and its new grid tool for
solving the problems in metrology. In a globalized world, metrological activities are designed …

A symmetric top is considered, which is a particular case of a mechanical top that is usually
described by the canonical Poisson structure on T* SE (3). This structure is invariant under …

The symmetric top is a special case of the general top, and canonical Poisson structure on $
T^* SE (3) $ is the common method of its description. This structure is invariant under the …

The new approach of the study of the dynamic stability of magnetic bodies in external axially-
symmetric magnetic fields is proposed. The Hamiltonian describing a wide class of …

З викоранням отримано¿ у явному вигляді функці¿ потенціально¿ енергі¿ магr нітно¿
системи, що складаеться з надпровідного кільця та магнітного диполя в однорідноr му …

Mathematical model of interaction for magnetic symmetric top (ie a rigid body and magnetic
dipole simultaneously) in external magnetic field under uniform gravitational field is …

This paper analytically proves the existence of stable orbital motions in a system of
superconductive and permanent magnetic dipoles. As opposed to a system of two …

В работе дано аналитическое доказательство устойчивости динамического
относительного равновесия подвижного магнитного диполя в поле двух фиксированных …