ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Petuhov A. Y. Development of the Russian state in the 20th and 21st centuries: Mathematical modeling based on the socio-energy approach. Izvestiya VUZ. Applied Nonlinear Dynamics, 2021, vol. 29, iss. 3, pp. 365-375. DOI: 10.18500/0869-6632-2021-29-3-365-375

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
English
Article type: 
Article
UDC: 
51-77

Development of the Russian state in the 20th and 21st centuries: Mathematical modeling based on the socio-energy approach

Autors: 
Petuhov Aleksandr Y, Federal state budgetary educational institution of higher professional education Nizhny Novgorod state University named N. And.Lobachevsky
Abstract: 

Purpose. The article is devoted to modeling the socio-political development of Russia in 1910–2009 based on the author’s socio-energy approach. In this paper, we briefly talk about the basics of the proposed approach, its principles and basic equations. Methods. The mathematical model is based on the Langevin diffusion equation. We also introduce the concepts of social energy, coefficients of the state of society and give them definitions. Results. Based on its, computer modeling is carried out and the characteristic regularity of the development of society in Russia in 1910–2009 is derived. Conclusion. We can notice the spiral pattern of the Russian society in the 20th century. Depending on the density, scale and diversity of events «the flow» of history is accelerating, and the movement in the coil becomes «faster». On its basis, the further development of the Russian society and the state as a whole can be predicted.

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Received: 
28.10.2020
Accepted: 
21.03.2021
Published: 
31.05.2021