Моделирование

We study synchronization in one- and two-dimentional ensembles of nonidentical Bonhoeffer–van der Pol oscillators. Small chains (number of elements N 6 4) are proved to have not less than 2N¡1 coexisting stable different synchronous regimes. The chain of N elements is supposed to have not less than 2N¡1 synchronous regimes at the same values of parameters. Formation of synchronization clusters at weak coupling is shown. Regimes, provided by existing of waves, setting rhythm for all elements in ensemble, are investigated.

We study synchronization of two coupled nonidentical Bonhoeffer–van der Pol oscillators. Coexistence of two different synchronous regimes is proved. Mechanisms of synchronous regimes origination and destruction are investigated. Fluctuations influence on syncronous regimes is considered. It is found that noise can cause: i) synchronization destruction and beating originations; ii) fluctuations-caused bistability destruction; iii) fluc-tuations-caused intermittency of synchronous regimes without synchronization destruction.

The paper is a proposal to discuss any terms and definitions of experiments in textbooks, scientific and methodical publications.

We consider several electronic circuits, which are represented dynamical systems with hyperbolic chaotic attractors, such as Smale–Williams and Plykin attractors, and present results of their simulation using the software package NI Multisim 10. The approach developed is useful as an intermediate step of constructing real electronic devices with structurally stable hyperbolic chaos, which may be applicable in systems of secure communication, noise radar, for cryptographic systems, for random number generators.

Some problems of modelling of dynamic systems with piecewise linear characteristics are considered. New methods of approximation of the piecewise linear functions, in particular, step functions without disadvantages of the traditional Fourier series expansions are suggested. Some questions of convergence and error estimation of the approximation are explored.

This paper presents the approaches and methods for modeling and analysis of the open human cerebral cortex IR­thermo maps. The main goal of the development is to solve fundamental problems: the selection of reliable informative features, which allow detecting abnormalities of the brain, to classify its types, and to delineate its boundaries. The created analytical tools are also directed to the studying fundamental problems related to the mechanisms of autoregulation and compensation in the brain. The described methods and approaches were tested on the real medical history.

It is shown that discovered fractal properties of neuronal interspike interval sequence contradicts the reflex theory. The simplified model of formation and realization of individual experience based on reflex theory view of individual experience structure as a tree has been proposed. Behavior of the model does not show fractal properties. It is suggested that non­reflex model of individual experience structure formed as a tree of skills is needed. It is shown the possibility of nonlinear (fractal) properties estimation in the data for evaluation of a theory.