The Brown–LaBonte variation numerical method has been used to investigate the structure and energy of the Néel domain wall (DW) in a thin magnetic film of the Permalloy type. The equilibrium structure of the DW corresponds to the minimum of the total energy and to the Aharoni criterion close to unity. It has been shown that, when moving from the center of the DW, variations in the magnetization occur in an oscil lating manner with a period that increases upon approaching the edge of the DW. At the edge of the DW, the period reaches a maximum value and, in this region, a sharp decrease occurs in the magnetization. In the region of the extended side tails of the DW, a larger gradient of the change is obtained in the magnetization than in the model of a logarithmic variation.

In the paper, issues of creating information-and-analytical systems of "Safety management system" type for monitoring information on the system safety and evaluation of safety risks are considered.

The application of symbolic CTQ-analysis for studying synchronization of chaotic oscillations is considered. This approach differs substantially from its analogs since it makes it possible to diagnose and measure quantitatively the characteristics of intermittency regimes in synchronization of chaotic systems and, hence, to analyzer the temporal structure of synchronization. The application of the symbolic analysis apparatus based on the T-alphabet to systems with phase locking and synchronization of time scales is demonstrated for the first time. As an example, a complex system of two mutually coupled nonidentical Rössler oscillators in the helical chaos regime with attractors having an ill-conditioned phase is considered. The results show that the method considered here makes it possible to reliably diagnose synchronism sooner than a phase locking and/or time-scale synchronization threshold is detected.

We present two generalizations of the concept of equilibrium in secure strategies. In equilibrium contained by counter-threats (ECCT), no player can increase its payoff by a unilateral deviation without creating a threat to lose more than it wins. This condition must be satisfied for any pseudo-equilibrium in the generalized sense and, therefore, any such equilibrium must belong to the set of ECCT. The second generalization is the complex equilibrium in secure strategies. The proposed concept allows identifying a hierarchical structure of mutual threats between players and will be useful for the analysis of problems with asymmetric behavior of players. Search algorithms for the proposed equilibria and their examples in matrix games are provided.

The report is devoted to the development of intelligent information routing subsystem designed to manage the flow of patients in the provision of medical diagnostic services in a medical facility. This subsystem is one of the important blocks of a patient – oriented intelligent control systems diagnostic and treatment processes in a medical facility (on the example of the neurosurgical clinic). According to the results of collective multivariate examination, the results of data mining expert assessments, and using the foreign experience in this direction, formulated the basic provisions of the adaptive intelligent information routing subsystem concept.