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It is description of the way in which chemical environment of Briggs–Rauscher autooscillating reaction a?ects characteristics of oscillations. It has been ascertained that variations of the iodide complexes concentrations perhaps occurs due to increases of oxygen concentration in media and intermediate’s concentration ?uctuation. In?uence was investigated one of the basic natural oxidizing agent oxygen and it radical forms on autocooperative mechanisms of Briggs–Rauscher reaction.

In the work we consider the classic cyclic schemes for the construction of cognitive processes. Based on neurobiological data we indicate the need to introduce a special mechanism for adaptive control signals of a mismatch in cognitive processes at the stage preceeding the decision point. Endogenous opioid system can be considered one of the major neurochemical candidates for such «breakers». This system provides the suppression of signals about a mismatch between current and target states of the cognitive system.

Information about 6th All-Union Congress of Physicists in 1928 and the 20th International Symposium «Nanostructures: Physics and Technology» in 2012 is given. The similarities in the principles of the organization are noted, the di?erences are discussed. A?nity of objectives of these activities and their relationship with the best traditions in domestic science are marked.

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.

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

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.

This paper proposes a method of constructing of the ring system, in which the phenomena of complex analytical dynamics such as the Mandelbrot and Julia sets, are implemented in some approximation. The system is non-autonomous, includes frequency ?lters and nonlinear elements, described by the model of the resonant interaction of waves in quadratic nonlinear dispersive medium.

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.

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.

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.