Volume 6 Issue 5


Volume 6 Issue 5

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Dubov S.S.,
Mesengiser Y.Y.

About electronic signature and its prospects in the digital economy 70

On July 28, 2017, the Government of the Russian Federation approved the program "Digital Economy of the Russian Federation". In the conditions of digital economy, when information in digital form is a key factor in the production of all spheres of socioeconomic activity, paper documents will be actively replaced by electronic ones, and handwritten signature – by its digital counterparts. However, the transition to digital data requires the updating of existing technologies and concepts. Special attention in the program "Digital Economy of the Russian Federation" is given to the issue of creating a trusted circuit, within the framework of which it will be possible to exchange various data in digital form, store and process data, and provide the necessary and sufficient level of confidence in this data. Unlike a paper document signed by analog signatures, the authenticity of which can be verified by handwriting examination, the authentication of the document raises a number of questions. How is it possible to confirm the authenticity of information in digital (electronic) form? How to identify the information creator? How should the author's unique label be assigned to information? And so on. It is necessary to have some tool that uniquely confirms the authorship in electronic form. One of the fastest-growing areas and, to date, the main attribute of ensuring a sufficient level of trust in the data in electronic form is the electronic signature. However, there are subtleties, specific features and rules for working with this technology, which you need to know in order for the electronic signature to become more tightly integrated into our life. This article describes the main aspects and some features of using electronic signatures in the Russian Federation.

Keywords: digital economy, information systems, electronic signature, types of electronic signatures, OIDs.



Yurasov A.N.,
Granovsky N.V.

Special aspects of the transverse Kerr effect with consideration of the size effect in nano-composites as exemplified by CoFeB

The article deals with the analysis of the properties of nanocomposites as exemplified by CoFeB using the transverse Kerr effect (TKE). This nanocomposite has strong magnetic properties. It shows such effects as anomalous Hall effect and significant magneto-optical activity, which is of both fundamental and practical interest. In this article, in addition to calculating the optimal values in the modeling of nanocomposites, the possibility of their very wide application in a variety of fields is considered: from medicine and chemistry to the building industry, rocket engineering and aircraft construction. An important task is to study the structure of nanocomposites, which allows producing magneto-optical devices. The method of obtaining the CoFeB nanocomposite is described. The specific features of its magneto-optical spectra are explained in view of the results of the experiment in the framework of the effective medium theory and the size effect. Using the CoFeB nanocomposite this article allows explaining the value of the TKE, the spectra of which change their sign in the near IR region and, significantly, their shape. This behavior can be explained only by particle size distribution, i.e., size effect. The obtained results allow explaining experimental optical and magneto-optical spectra in nanocomposites, mainly, in the near and visible IR region. This article deals with the research on the optimal values of the parameters describing the nanocomposite. The following parameters of the nanocomposite were considered during the simulation: particle size, form-factor and light incidence angle. Fixing all the chosen parameters except the changeable one and carrying out corresponding calculations the author has succeeded in obtaining several different values describing the transverse Kerr effect influence on the nanocomposite. The importance of considering the size effect in the near IR region of the spectra is explained in the article. The description of the optical and magnetooptical spectra of the nanocomposite (CoFeB) is provided. Spectral dependences of the TKE were obtained, which allowed clearly demonstrating the change in signs and values of the effect in the near IR region. The size effect in the near IR region of the spectrum is associated with interband transitions.

Keywords: size effect, nanocomposites, transverse Kerr effect, magneto-optical properties.



Berdnikov V.P.

Improving the efficiency of the procedure of Lyapunov spline-functions construction for nonlinear nonstationary systems 31

The paper proposes a numerical algorithm for constructing Lyapunov functions for investigating the absolute stability of nonlinear nonstationary systems. In the case of asymptotic stability of the system, the implementation of the algorithm will lead to the construction of the Lyapunov function level set in the form of a smooth closed surface of dimension equal to the dimension of the original system. To construct a smooth level set of the Lyapunov function, a new type of surface has been developed. Thus, the task of constructing the level set was reduced to a series of simple optimization problems, which guarantees the convergence of the algorithm. Unlike the algorithm for constructing piecewise linear Lyapunov functions, this algorithm analyses systems located near the stability boundary in an acceptable time. The relationship of this algorithm and methods based on frequency criteria and quadratic Lyapunov functions is shown. A significant improvement in the accuracy of estimates of the stability boundary was demonstrated in comparison with the classical methods. To achieve a balance between the accuracy and speed of the algorithm, recommendations on the choice of initial conditions are given.

Keywords: differential inclusions, nonlinear nonstationary systems, absolute stability, Lyapunov functions, stability areas, Bezier splines, Bernstein polynomials.


Lebo I.G.,
Simakov A.I.

Modeling the evolution of whirl structures in a supersonic gas stream 31

With the help of mathematical modeling methods we studied the evolution of whirl structures moving in a gas behind a shock wave front. This shock wave is defined by the Hugoniot relations. The Hugoniot relations allow finding the parameters of the gas behind the shock wave front, if the Mach number and gas parameters before the pressure jump are known. We developed a parallel algorithm and a numerical code for solving 2D gas dynamics equations. We made numerical simulations that modeled the shock wave interaction with whirl structures of different configurations (single whirl, two whirls with different directions of their vectors). We demonstrated the results of test simulations in a supercomputer with a different number of processors. It was shown that using 40 processors allows decreasing the duration of a test simulation approximately by the factor of 30. We described the results of the calculation of interaction of one/two whirls with the incident wave and the reflected waves. The gas dynamics parameters at the moment t = 0 were set with the help of Bernoulli law. Besides, we made a comparison with a similar program based on another algorithm (particle-in-cell method). It was shown that the interaction of two whirls with opposite directions does not lead to their compensation, but the interaction area (turbulent zone) has a complicated shape. The possibility of natural experiments with the help of a shock tube and a laser shock tube is discussed in the article. Such research would allow comparing the experimental data with the results of numerical simulations and developing more complicate models of the turbulent motion.

Keywords: numerical simulation, shock wave, whirls, TVD difference schemes.



Bodrova E.V.

Academy of sciences in the conditions of the decay of the USSR 22

On the basis of unpublished archival materials, the problem of finding the optimal strategy for the further existence of the Academy of Sciences in the context of the struggle for power between the Union and Republican centers in the last years of the USSR is studied. Particular attention is paid to the consideration of the ongoing discussions on the feasibility of reorganization of the USSR Academy of Sciences. It is concluded that the fate of the Academy of Sciences of the USSR, as well as the fate of the country as a whole in the last years of its existence, largely depended on many subjective and objective factors. A significant part of the scientific community adequately and sagely assessed the events unfolding at that time. The decision to transform into the Russian Academy of Sciences, the Presidium's course to preserve it at all costs despite the very complex relations with the new government, which are now causing ambiguous assessments, allowed, in the author's opinion, to ensure the survival of the core of fundamental science in the 1990s in the conditions of deindustrialization and demodernization of the country.

Keywords: Academy of sciences, fundamental science, collapse of the USSR, crisis.


Gritsenko C.A.,
Chernova N.I.,
Katakhova N.V.

Dialogue of cultures of Russia and Sweden in the context of formation of the world outlook of students 27

The article deals with dialogue of cultures, the most topical issue in the modern interdisciplinary field. Due to the native "literary centricity" of the Russian culture, the authors have studied the role and significance of Russian-Swedish literary contacts in the cultural cooperation of the two countries, which directly influences the formation of the scientific world outlook of contemporary Russian students during the last centuries. While studying the issue the researchers used the analytical methods of historical and philological sciences. They give a brief description of a long history of literary contacts between Sweden and Russia within the period from the last decades of the eighteenth century to the turn of the 20th and 21st centuries. They analyze the literary world events with due regard for the political context of rivalry and cooperation in the Baltic-Scandinavian region. According to the authors the most active time of the two countries’ cultural ties dates back to the period of 1830s – 1840s, including the so-called "Scandinavomania" (1880s – 1890s), and some decades in the Soviet State history. Within their study, the researchers have established that the Russian literature (especially its "Golden Age" time) invariably was one of the ways for Swedes to get knowledge about Russia and the Russian national character in its best and most characteristic manifestations. In its turn, Russians also discovered Sweden for themselves reading works of its outstanding writers (F. Bremer, A. Strindberg, S. Lagerlöf, etc.).The authors believe that the established Russian-Swedish literary contacts will guarantee peaceful and good-neighbor relations of these border states in the future by forming students’ tolerant and respectful attitude to the culture of neighboring countries and peoples.

Keywords: dialogue of cultures, formation of the world outlook, Russian-Swedish literary contacts, history of Russian literature, history of Russia, history of Sweden.