MATHEMATICAL MODELING AND DATA MINING

The theory of self-organized criticality how complexity theory

V. N. Kostiuk

Institute for Systems Analysis of Russian Academy of Sciences

Abstract: In the article "The theory of self-organized criticality how complexity theory" considered the investigation P. Bak sand model that studies the behavior of avalanches (spontaneous ssypany of the sand, resulting in the surface of the heap by increasing the angle of inclination). Gradually, some avalanches cover the entire surface of the pile as a whole. There is a state of self-organized criticality, or nonlinear equilibrium heap. From this perspective, the article analyzes the crises that have arisen in the world economy after 2000.

Keywords: self-organized criticality, complexity, fluctuations, nonlinear equilibrium, critical time, subcritical time, the economic crisis.