  The goal of this investigation was to derive strictly new properties of
chaotic systems and their mutual relations. The generalized Fokker-Planck
equation with a non stationary diffusion has been derived and used for chaos
analysis. An anomalous transport turned out to be natural property of this
equation. A nonlinear dispersion of the considered motion allowed to find a
principal consequence: a chaotic system with uniform dynamic properties tends
to unstable clustering. Small fluctuations of particles density increase by
time and form attractors and stochastic islands even if the initial transport
properties have uniform distribution. It was shown that an instability of phase
trajectories leads to the nonlinear dispersion law and consequently to a space
instability. A fixed boundary system was considered, using a standard
Fokker-Planck equation. We have derived that such a type of dynamic systems has
a discrete diffusive and energy spectra. It was shown that phase space
diffusion is the only parameter that defines a dynamic accuracy in this case.
The uncertainty relations have been obtained for conjugate phase space
variables with account of transport properties. Given results can be used in
the area of chaotic systems modelling and turbulence investigation.
