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Physics of Modes with Self-Organized Criticality at the Edge of Stability

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

Characteristics of modes and their physical properties in the region close to the point of bifurcations in systems with self-organized criticality are considered. A mathematical model of the synchronization of relaxation self-oscillations based on the modified Wiener–Rosenblueth axiomatic model and the properties of uniform almost-periodic functions is used to study the modes near the point of bifurcation. It is shown that a set of remarkable properties in the operating mode near the point of bifurcation can be achieved due to positive feedback while stabilizing it with negative nonlinear feedback.

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Authors and Affiliations

  1. Plekhanov University of Economics, 117997, Moscow, Russia

    M. E. Mazurov

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  1. M. E. Mazurov
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Correspondence to M. E. Mazurov.

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Translated by N. Petrov

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Mazurov, M.E. Physics of Modes with Self-Organized Criticality at the Edge of Stability. Bull. Russ. Acad. Sci. Phys. 86, 230–235 (2022). https://doi.org/10.3103/S1062873822020198

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  • DOI: https://doi.org/10.3103/S1062873822020198

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