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


Sequential switching activity in the ensemble of nonidentical poincare systems ?

Switching activity in the ensemble of inhibitory coupled Poicare systems is considered. The existence of heteroclinic contour in the phase space at the certain domain of parameter space has shown. Dynamics of the ensemble of non-identical inhibitory and di?usively coupled systems of Poincare is considered. The approximate bifurcation diagrams for all qualitatively di?erent regimes of the network activity have shown.

The study of the unidirectionally coupled generators of robust chaos and wide band communication scheme based on its synchronization

A numerical simulation of a wide band or secure communication scheme, based on nonlinear admixture of an information signal to the chaotic one, and on synchronization of the transmitter and receiver generators, manifesting hyperbolic chaos. Synchronization of the transmitter and receiver is provided by a strong unidirectional coupling between them. The study of the possibility of synchronization between subsystems and functionality of the communication scheme are presented.

Mutual synchronization of two coupled generators with delay

The e?ects of synchronization in the system of two coupled oscillators with delay are investigated. The picture of possible modes of generation in the case of identical and non-identical excitation parameters is studied in detail. The possibility of full synchro-nization in the stationary single-frequency, self-modulation and chaotic generation regime is demonstrated. The regime of «broadband synchronization» is found. In contrast with coupled ?nite dimensional systems, the boundaries of broadband synchronization area have wavy form.

Effect of delayed reflection from the remote load on mode competition in а gyrotron

E?ect of re?ection from the remote load on the mode competition in a two-mode electronic maser is considered. A system of quasilinear equations for slowly varying amplitudes of the modes with cubic nonlinearity where the e?ect of re?ections is taken into account by time delayed terms is analyzed. The most typical case of competition of two modes with close frequencies at the centre of generation zone is studied in detail.

The effect of weak nonlinear dissipation on the stochastic web

The e?ect of a weak nonlinear dissipation on the structure of the system’s phase space with stochastic web is invstigated. The bifurcation scenario of attractor transformations with the increase of dissipation is revealed.

Control of a chaotic microwave signal generation in nonautonomous ring system based on a ferromagnetic film

Experimental investigation results of the nonautonomous active ring system based on a ferromagnetic ?lm at three-wave interactions were considered. The possibility of system dynamics controlling by the external harmonic signal was shown. A comparison of experimental data with simulation results was done.

Optimization of basis function set for model map reconstruction of short electroencephalogram tracings during epileptic seizure

The problem of compact mathematical model reconstruction of short electroencephalogram tracings during epileptic seizure is solved. This kind of model map can be useful in many applications, for example, in time series segmentation with following clustering of obtained fragments. Optimization methods are proposed as a solution. It is shown that application of optimization methods allows to obtain adequate model at that time decreasing number of modeling map basis functions.

Passage of the magnetostatic wave propagating through the lattice on the basis of the magnon crystal

The paper presents the results related to the construction of a model based on the coupled waves to describe the characteristics of magnetostatic waves passing through the structure on the basis of one-dimensional magnon crystal at various geometric parameters of the structure and at ?nite values of the input power.

On the question of two self-exciting oscillation models in non- physical systems

In this article Wilson-Cowan model for interactions of excitatory and inhibitory neurons and model of currency oscillations on a Forex market were considered.

One more on universality of oscillatory and wave processes. Foundations for construction of mathematical models

Nonlinear systems with random sources are considered. As a rule, such systems cannot be solved both analytically and numerically. But due to the universality of the oscillation theory we can use simple models and obtain qualitative results.