  The theory of resource distribution in self-organizing systems on the basis
of the fractal-cluster method has been presented. In turn, the fractal-cluster
method is based on the fractal-cluster relations of V.P. Burdakov and the
analytical apparatus of the thermodynamics of I. Prigozhin's structure. This
theory consists of two parts: deterministic and probabilistic. The first part
includes the static and dynamic criteria, the fractal-cluster dynamic equations
which are based on the Fibonacci's range characteristics fractal-cluster
correlations. The second part includes fundamentals of the probabilistic theory
of a fractal-cluster systems. This part includes the dynamic equations of the
probabilistic 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. In
particular, three fundamental fractal-cluster laws have been obtained for
biological organisms: probabilistic, energetic and evolutionary.
