  In the current paper Fokker Planck model of random walks has been extended to
non conservative cases characterized by explicit dependence of diffusion and
energy on time. A given generalization allows describing of such non
equilibrium processes as Levy flights in a classical differential form without
use of fractal PDE. Besides it takes into account mixing properties that are
obligatory for a certain class of chaotic systems such as Kolmogorov K system.
It was shown that an abnormal transport is a consequence of the equilibrium
distortion and not stationary diffusion. The particular case of fixed
boundaries was considered. According to the received solutions it was shown
that a system structure can resist a weak disturbance in the vicinity of the
discrete regimes, defined by a system scale and its nonlinear properties. These
regimes correspond to the exponential increase of quasi regular structure
fluctuations. Only fast disruption of regime is possible for other states of
the system. It leads to an immediate transition to the chaos.
