ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


Study of synchronization in the system of two delay-coupled gyrotrons using a modified quasilinear model

Topic. The paper is devoted to the study of mutual synchronization of two gyrotrons coupled with delay. As a rule, a theoretical study of synchronization of gyrotrons and other microwave oscillators is usually carried out by numerical simulations using certain well-established models of microwave electronics. Using this approach, it is difficult to provide a fairly complete synchronization pattern, using methods and ideas of nonlinear dynamics. Aim.

Dynamics of coupled generators of quasi-periodic oscillations with equilibrium state

Subject of the study. Recently, the problems of synchronization of systems demonstrating quasi-periodic oscillations arouse interest. In particular, it can be generators of quasi-periodic oscillations that allow a radiophysical realization. In this paper we consider the dynamics of two coupled oscillators of quasi-periodic oscillations with a single equilibrium state. Novelty.

Synchronization self-sustained oscillators interacting through the memristor

Aim. The aim of the paper is to study the mutual synchronization of two periodic selfsustained oscillators with a detuning of frequencies interacting through a memristor. It is supposed to give an answer to the question of the possibility of synchronization in this case and of its probable features. Method. The study is carried out by methods of theoretical analysis and computer simulation of oscillations in a system of two van der Pol oscillators interacting through a memristive conductivity. As the latter, an idealized Chua memristor is used. Results.

Multistability of traveling waves in an ensemble of harmonic oscillators with long-range couplings

The work is devoted to study of multistability of traveling waves in a ring of harmonic oscillators with a linear non-local couplings. It analyses the influence of the strength and radius of the couplings on stability of spatially periodic regimes with different values of their wavelengths. The system under study is an array of identical van der Pol generators in the approximation of quasi-harmonic oscillations.

Influence of inertial properties and delay of the mean field on the collective dynamics of globally coupled bistable delayed-feedback oscillators

The features of collective dynamics of oscillators are studied in an ensemble of identical bistable time-delay systems globally coupled via the mean field. The influence of inertial proper-ties and delay of the mean field on the collective dynamics of oscillators is considered. It is shown that a variety of oscillation regimes in the ensemble is caused by the presence of bistable states with considerably different basic frequencies in coupled oscillators.