self-organization

The purpose of this study is to investigate the phenomenon of self-organization of the dynamics of charge carriers in semiconductor structures. Investigate the basic model, give a numerical estimate for given parameters and propose its modification. Determine the dependence of the evaluation results on the control parameter. Consider the dynamics when the control parameter depends on time. Carry out theoretical analysis, numerical simulation and build graphs.

We propose a version of the neuroprocessor construction scheme, which in principle capable to solve problems commonly treated as creative work. The role of conventional information is discussed, and the specific block for the symbol formation is suggested. The system capable to solve logic problems has been pointed out. It is shown that the symbol (logical) subsystem is able to interpolate and extrapolate in the process of pattern recognition and prognosis.

The concepts of «pattern» and «symbol» and their functions are discussed in the context of «thinking» system of combined neuroprocessors. It is shown that the pattern subsystem does play a key role in recording and store of information. The symbol subsystem initiation provides the transition to conventional semantic information and communications with environment. The paradigm of attention within the scheme presented is secured by a parametric effect of symbol subsystem on the image one.

Sergei P. Kurdyumov (1928–2004) and his distinguished contribution in the development of the modern interdisciplinary theory and methodology of study of complex selforganizing systems, i.e. synergetics, is under consideration in the article. The matter of a mathematical model of evolutionary dynamics of complex systems elaborated by him is demonstrated. The nonlinear equation of heat conductivity serves as a basis of the model. Under certain conditions, it describes dynamics of development of structures of different complexity in the blow-up regime.

This article is an extended summary of a lecture given to undergraduate and postgraduate students of Saratov State University’s Faculty of Nonlinear Processes at the School-cum-Conference «Nonlinear Days for the Young in Saratov – 2012». The article presents a brief review of the literature reflecting the foundations of the modern theory of biological evolution.

Self-organized structures after ion-beam irradiation in solid materials have been studied using the method of fractal dimension. General computer method of the scale invariance evaluation for exposed dispersive structures is described. It was demonstrated that structures after irradiation can be characterized by the compatibility of scale invariance properties at different scale levels.

The influence of two types of diffusion on dynamics of stochastic lattice Lotka– Volterra model is considered in this work. The simulations were carried out by means of Kinetic Monte-Carlo algorithm. It is shown that the local diffusion considerably changes the dynamics of the model and accelerates the interaction processes on the lattice, while the mixing results in appearance of global periodic oscillations. The global oscillations appear due to phenomenon of phase synchronization.