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JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2024 Volume 15, Issue 1, Pages 41–62 (Mi ps439)

Mathematic Modeling

Fractal model of macrosystems

S. A. Amelkin

The Presidential Academy of National Economy and Public Administration, Moscow, Russia

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.

Key words and phrases: Macrosystem, entropy production, minimal dissipation processes.

UDC: 536.757
BBK: 22.317.12

MSC: Primary 28A80; Secondary 28D20, 82B35

Received: 07.12.2023
Accepted: 28.12.2023

DOI: 10.25209/2079-3316-2024-15-1-41-62



© Steklov Math. Inst. of RAS, 2026