Fractal-cluster theory and thermodynamic principles of the control and analysis for the self-organizing systems

摘要

The theory of resource distribution in self-organizing systems on the basisof the fractal-cluster method has been presented. This theory consists of twoparts: determined and probable. The first part includes the static and dynamiccriteria, the fractal-cluster dynamic equations which are based on thefractal-cluster correlations and Fibonacci's range characteristics. The secondpart of the one includes the foundations of the probable characteristics of thefractal-cluster system. This part includes the dynamic equations of theprobable evolution of these systems. By using the numerical researches of theseequations for the stationary case the random state field of the one in thephase space of the $D$, $H$, $F$ criteria have been obtained. For thesocio-economical and biological systems this theory has been tested.