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Russian Journal of Cybernetics, 2022 Volume 3, Issue 4, Pages 102–109 (Mi uk33)

This article is cited in 1 paper

Statistical selection of invariants in biocybernetics

G. V. Gazyaa, N. F. Gazyab, V. M. Eskovc

a Ugra State University, Khanty-Mansiysk, Russian Federation
b Surgut State University, Surgut, Russian Federation
c Surgut Branch of Federal State Institute “Scientific Research Institute for System Analysis of the Russian Academy of Sciences”, Surgut, Russian Federation

Abstract: The study of steady-state modes (invariability) in biosystems through biocybernetics research is paramount in the light of the Eskov–Zinchenko effect. The effect is statistical instability of any human body property. If any sample has unique statistical properties, then the statistical approach does not work and we cannot observe the invariability of the biosystem (it is in a continuous, chaotic movement). This work proposes to estimate k pairs of numbers (using pairwise comparisons of the samples), which statistically may have a general distribution. It is also emphasized that the areas of pseudoattractors in the two-dimensional phase state spaces can also be invariants (for an unchanged physiological state of the biosystem).

Keywords: chaos, pseudoattractors, Eskov–Zinchenko effect, invariants.

DOI: 10.51790/2712-9942-2022-3-4-12



© Steklov Math. Inst. of RAS, 2024