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The Bulletin of the Adyghe State University, the series “Natural-Mathematical and Technical Sciences” |
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#3 / 2024MathematicsRoytenberg V.Sh.On bifurcations of a polycycle formed by separatrices of four saddles of a dynamical system invariant under involution, having a curve of fixed points
We consider a two-parameter family of smooth vector fields on the plane invariant with respect to an involution I whose fixed points form a smooth line. It is assumed that for zero values of the parameters the vector field has two saddles on the line F, with the arc of the line F between them being their common separatrix, as well as two symmetric saddles whose outgoing and incoming separatrices go to the indicated saddles on F. These separatrices and saddles form a polycycle consisting of two symmetric contours with a common arc belonging to F. For generic families, we describe a partition of the neighborhood of zero on the plane of parameters into classes of topological equivalence of vector fields in the neighborhood of the polycycle.
Contact curve and limit cycles of planar polynomial vector fields
A class of planar polynomial differential systems with polynomials of degree in the right-hand sides for which n ellipses nested one into another are contact curves is constructed. For these systems the conditions for the existence of at least limit cycles surrounding the “smallest ellipse” are found.
PhysicsIvanov I.A., Nurguleev D.A.Determination temperature of bose condensation of excitons in heterostructures based on EuO
The temperature of bose condensation of excitons in EuO-based heterostructures has been calculated. It is obtained from equating the de Broglie wavelength for electrons to the average distance between electrons and holes. Both triplet and singlet excitons are formed in EuO-based heterostructures. The large lifetime of triplet excitons leads to a low temperature of their bose-condensation.
Technical SciencesBuchatsky P.Yu., Onishchenko S.V., Teploukhov S.V., Bychkov T.Yu.Implementation of the program module for assessing the potential of bioenergy resources
The potential of bioenergy in agriculture is considered. Energy sources such as waste from livestock farms and agricultural lands, which are natural by-products of these types of activities, have been selected for analysis. A software and technical module has been implemented that allows us to determine the gross and technical potential of the types of bioenergy resources under consideration. As initial information, data on the number of livestock in the region under consideration and the area of available agricultural land are used, the values of which can be obtained through integration with geographic information systems. To obtain the final energy values, the energy output coefficients for the type of resource under consideration and the efficiency of the energy converter intended to be used.
Development of microfrontend modules for digital companies
New possibilities for organization and optimization of modern web applications are considered. Microfrontend is an architectural approach to web application development that involves breaking the frontend into several independent and small modules or components. Each of these modules is developed, deployed and managed separately, but they can interact with each other within the overall application.
U-Net neural network architecture for image noise denoising with mechanisms of frequency and time-frequency attention
The noise reduction problem is one of the most common in the digital image processing field. State-of-the-art noise reduction techniques are based on the use of U-Net-like deep convolution-al networks. To improve the quality of noise reduction, layers of visual attention are added to models. It provides possible to identify spatial regions in the image that are important for pre-diction. On the other hand, there are approaches to implementing frequency-aware layers based on selecting significant frequencies from the Fourier spectrum. This paper proposes an approach for constructing an attention block that combines the methods of visual spatial attention and frequency attention.
Simulation model of mass service system for business processes on the example of bank operation
A modern effective computer simulation tool AnyLogic which does not limit the user to one modeling parameter is considered. Using the example of using AnyLogic to model the queuing system of the bank's business processes, the necessity of studying this system in universities in the form of laboratory work on subjects related to computer modeling is justified. This will contrib-ute to an increase in cognitive interest in the problem of simulation modeling, the formation of skills for conducting simulation modeling.
Brief review the concept of the drone Internet and ensuring the safety of UAVs swarm flight execution
The paper reviews the concept of the drone Internet as a decentralized network in the context of ensuring information security of transmitted data. The main directions of using the new techno-logical concept are considered, and the main threats posed by attackers are analyzed. An anal-ysis of the types of attacks and violations of secure data transmission in a group of drones flying together is presented.
Digitalization of natural science museums as a means of increasing the involvement of potential applicants to technical universities in the educational process
The article is devoted to the analysis of the role of digitalization in the activities of natural sci-ence museums as a tool for increasing the involvement of potential applicants to technical universities. The authors review the historical development of museums' interaction with the public, emphasising the importance of digital technologies for the modern museum space. Particular attention is paid to digitalization tools that allow museums to expand their audiences and make the educational process more accessible and interactive. The article points out two types of text representation in the context of museum exposition, their impact on visitors' perception of information and possibilities for use in educational programs. Based on the conducted research and comparative analysis of software analogues, the authors of the article propose the implementation of a media portal of the museum of natural sciences of a technical university.
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