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We study the formation of multiple synchronous states for weakly diffusively coupled 3D-oscillators. As a representative 3D-model we use the equations for generator with inertial nonlinearity. It is shown that oscillations multi-crest waveform is not the factor that solely defines the number of multiple synchronous states, but dephasing-like effects have to be taken into account.

We study the formation of multiple synchronous states for weakly diffusively coupled 3D-oscillators. As a representative 3D-model we use the equations for generator with inertial nonlinearity. It is shown that oscillations multi-crest waveform is not the factor that solely defines the number of multiple synchronous states, but dephasing-like effects have to be taken into account.

Numerical modeling of behavior of the charged particle in a magnetic field of an open trap is carried out. Correlation between confinement period of charged particle in a trap and degree of a randomness of trajectory is shown. On the basis of study of power spectra domains of existence of chaotic oscillatory modes are submitted. Maps of dynamic modes are constructed in the phase variables planes.

Invariant functional subspaces for the Perron-Frobenius operator of a piece-wise linear chaotic Renyi map is constructed to find its first eigenfunctions.

Invariant functional subspaces for the Perron-Frobenius operator of a piece-wise linear chaotic Renyi map is constructed to find its first eigenfunctions.

Invariant functional subspaces for the Perron-Frobenius operator of a piece-wise linear chaotic Renyi map is constructed to find its first eigenfunctions.

Laws of pattern formation in lattices of nonlinear-coupled first-order bistable elements with two types of the element nonlinearity are studied and compared. The results are interpreted in terms of the application to edges detection in images. It is shown by the examples considered, that the replacement of the element nonlinearity does not influence significantly the image processing system functionality under certain conditions.

In the paper one of ways of spinup of rotors in devices with noncontact suspension is considered. For the creation of rotation the pulse-position way of control the fields of stator’s coils is applied. The method of approximation of limiting cycles by the Fourier series is carried out for the theoretical investigation of an opportunity of realization of the suggested way. The algorithm of control the coils fields is found and the conditions imposed on the parameters of the working moments which allow to receive the maximal angular speed of the rotor at the minimal power inputs are received.

Robust stability conditions in terms of linear matrix inequalities for a parametrically disturbed pendulum are obtained. Numerical results for estimating radius of robust stability are given.

Article is devoted to the nonconventional approach to the description and properties studying of the output flows arising in cyclic systems of mass service. This approach with use of imitation method allows to solve Webster – Allsop problem about delays in cyclic systems of mass service.