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

For citation:

Petukhov 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

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Language: 
English
Heading: 
Modeling of Global Processes. Nonlinear Dynamics and Humanities.
Article type: 
Article
UDC: 
51-77
DOI: 
10.18500/0869-6632-2021-29-3-365-375

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

Autors: 
Petukhov Aleksandr Y, Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
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.

Key words: 
socio-energy approach
mathematical modeling
Nonlinear dynamical systems
socio-political development of Russia
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Received: 
28.10.2020
Accepted: 
21.03.2021
Published: 
31.05.2021
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