The theory of resource distribution in self-organizing systems on the basis
of the fractal-cluster method has been presented. This theory consists of two
parts: determined and probable. The first part includes the static and dynamic
criteria, the fractal-cluster dynamic equations which are based on the
fractal-cluster correlations and Fibonacci's range characteristics. The second
part of the one includes the foundations of the probable characteristics of the
fractal-cluster system. This part includes the dynamic equations of the
probable evolution of these systems. By using the numerical researches of these
equations for the stationary case the random state field of the one in the
phase space of the D, H, F criteria have been obtained. For the
socio-economical and biological systems this theory has been tested.Comment: 37 pages, 20 figures, 4 table