Computational science
Research Article
Fractal model of macrosystems
Sergej Anatolyevich Amelkin
| The Presidential Academy of National Economy and Public Administration, Moscow, Russia | |
|
amelkin@ist.education |
Abstract. A mathematical model of a macrosystem of arbitrary nature in the form of a fractal graph is considered. This representation allows one to obtain phenomenological dependencies of macrosystems without being based on the properties of elementary objects that form the macrosystem. It is shown that a metric can be introduced on a set of stationary processes; the entropy production in the macrosystem has metric properties. (In Russian).
Keywords: Macrosystem, entropy production, minimal dissipation processes
MSC-2020
28A80; 28D20, 82B35
Acknowledgments: The study was supported by Russian Science Foundation grant No. 23-21-00173
For citation: Sergej A. Amelkin. Fractal model of macrosystems. Program Systems: Theory and Applications, 2024, 15:1, pp. 41–62. (In Russ.). https://psta.psiras.ru/2024/1_41-62.
Full text of article (PDF): https://psta.psiras.ru/read/psta2024_1_41-62.pdf.
The article was submitted 07.12.2023; approved after reviewing 27.12.2023; accepted for publication 28.12.2023; published online 21.03.2024.
