  The work is devoted to study of the following problem: can we use any
qualitative criteria for realization of such universal phenomenon as
self-organization in open systems? We have defined values of information at
fixed points of probability function of density of information and entropy.
Physical meaning of these values as criteria of self-affinity and
self-similarity in chaotic processes have been explained. We have shown that
self-organization occurs if normalized information entropy S belongs to the
range 0.567<S<0.806. The validity of these findings is confirmed by calculation
of value of S for hierarchical sets of well-known fractals.
