Proceeding of the Institute for Systems Analysis of the Russian Academy of Science

In a rectangular domain, a nonlocal boundary value problem is studied for the heat equation with a fractional Caputo derivative with variable coefficients. An a priori estimate in differential form is obtained by the method of energy inequalities. A difference scheme is constructed that approximates the boundary value problem with the first order. An analog of the a priori estimate in difference form is obtained. The obtained a priori estimates imply the uniqueness and stability of the solution with respect to the initial data and the right- hand side. The convergence of the difference scheme to the solution of the original problem is proved.

The work carries out an analytical and numerical analysis of the bifurcations of cycles of two systems of equations, which, according to the authors of the systems, contain both an infinite number of unstable singular points and “hidden” chaotic attractors. It is shown that the transition to chaos in systems occurs, as in any other nonlinear chaotic systems of differential equations, in accordance with the universal bifurcation scenario of Feigenbaum-Sharkovsky-Magnitskii. In this case, due to the absence of homoclinic and heteroclinic separatrix contours, incomplete FShM bifurcation cascades are realized in the systems, ending with a complete subharmonic cascade and an incomplete homoclinic cascade of bifurcations. It has been proven that in both systems the so-called “hidden” attractors are in fact complex singular attractors of systems in the sense of the FShM theory.

This article is devoted to the application of corpora analysis mathematical methods for the research of Russian fiction texts. A corpus of prose texts of Russian XIX century fiction, consisting of five subcorpora, has been created for the research. Each subcorpora contains texts of one certain author. Using the example of the created corpora, the possibilities of using the correspondence analysis method integrated into the TXM platform as one of the tools of the statistical research method are demonstrated. As another method, we consider the analysis of pairwise rank correlation coefficients to compare the frequency characteristics of texts of different subcorps. The methods described give correlated results and make it possible to identify differentiating features. The methods described give correlated results and make it possible to identify differentiating features. The described method can be used both for linguistic and literary studies and for creating appropriate training text sets for artificial intelligence tasks.

The issues of system analysis and synthesis of passive remote sensing systems for atmospheric gases are considered. The possibility of applying the solution of the Euler problem in the field of calculus of variations to optimize passive remote sensing of atmospheric gases is considered. The objective functional, called the Euler-Booger functional, is compiled and the optimization conditions for three atmospheric gas measurement modes are analyzed: (a) without a derivative spectrum; (b) with a basic and derivative spectrum; (c) using the derived spectrum only. Equations are obtained for the formation of an optimal relationship between the optical thickness of the atmosphere and the extra-atmospheric solar radiation flux at which the target functional called the Euler-Booger functional reaches a maximum.

The article is devoted to substantiating the need for state financing of projects to create wholesale food markets, which are considered as socially significant investment projects. The fact of the manifestation of the main effect of creating a market outside the framework of the project and the commercial inefficiency of the latter are noted and analyzed in detail. The main types of external effects from the creation of a wholesale food market are considered. As an additional argument in favor of the need for state financing for the development of wholesale food markets, historical data on unsuccessful attempts to develop this type of logistics infrastructure in the Russian Federation and, in particular, in Moscow, since the 90s of the last century are presented.

The work is aimed at development of information technologies for intelligent decision-making sup­port in the field of organizational management of the regional critical infrastructures resilience. This is urgent to enhance the efficiency of systems for ensuring the security and stability of these infrastructures under the influ­ence of heterogeneous situational factors. The study is based on systematization, analysis and generalization of well-known methodological approaches to ensuring the reliability, security and resilience of complex dynamic entities, as well as methods of general system theory, principles of network-centric control and multi-agent modeling concepts. A general classification of analysis and simulation methods and techniques used in practice to management support of the critical infrastructures resilience is given. The crucial need for applying the multi-agent systems paradigm to management support of the critical infrastructures resilience is substantiated. For this purpose, the field-of-use advantages and potential restrictions of applying a multi-agent approach in man­agement problems of critical infrastructures resilience are determined. Design principles of applied multi-agent decision support systems for overall resilience management of critical infrastructures, based on the conjugation of generic methodology for multi-agent systems engineering and technical approaches to organizing integrated security systems for critical facilities protection, have been proposed.

The paper analyzes the possibilities of using the life expectancy (LE) as an indicator of the macroeconomic and psychological situation in the country, as well as an indicator of the quality of government. The analysis was carried out based on the data of LE changes in Russia in the 20th and 21st centuries. A comparison was made with similar data for Sweden. It is shown that the LE reflects these characteristics very quickly and sensitively and can be used to evaluate them.

The article considers some problems of the content and essential elements of a citizen’s digital profile. The introduction of a digital citizen profile, also known as digital identification or electronic passport, is of interest to Russia as a potential means of improving public services, increasing security and simplifying bureaucratic procedures. In the article, the authors present some features and directions of the implementation of the digital profile of a citizen in Russia and arguments in favor of its implementation, as well as potential risks associated with its implementation. The authors reveal the specifics of how the digital profile of a citizen is integrated with existing digital systems in Russia, from a digital and legal point of view, as well as identify individual directions and components of this process.