tom3 pp.401-426

F.I. Mavrikidi, S.A. Khorkov

THE SYSTEM-CENOSIS APPROACH TO MATHEMATICAL MODELING TECHNOGENIC OBJECT

Annotation. The basis of the proposed work is the proximity of the concepts of system and cenosis, which define two ways to describe and manage man-made objects. Using the approach developed by the authors to modeling systems and cenoses, the paper presents a method of mathematical modeling based on the inclusion of p-adic numbers in the modeling apparatus. This step makes it possible to model specific system-technological properties of objects and their interaction with the external environment. The described approach is based on a number of well-known mathematical facts that are not included in the educational Arsenal of science, but represent a logically coherent sequence of results related to the practice and theory of fractals.
Keywords: system, cenosis, mathematical modeling, numerical asymmetry, fractal geometry, p-adic numbers,

For citation: Mavrikidi F.I., Khorkov S.A. [The system-cenosis approach to mathematical modeling technogenic object] Upravlenie tekhnosferoi, 2020, vol. 3, issue 3. (In Russ.) Available at: f-ing.udsu.ru/technosphere pp. 401 – 426. DOI 10.34828/UdSU.2020.66.20.002

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About the Author

Mavrikidi Fyodor Ivanovich

 Candidate of Technical Sciences, senior researcher, Institute of oil and gas problems of the Russian Academy of Sciences, Russia, Tel +7(916)7966320.

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 Khor'kov Sergei Alekseevich

 Associate Professor, Department of Heat Power Engineering, Oil and Gas Institute named of M.S. Gutseriev, Federal State Budgetary Educational Institution of Higher Education "Udmurt state University", 426034, Russia, Izhevsk, Str. University, 1/7, Russia, Tel +7(912)7671690

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