 It is well known that the exponential instability leads to the appearance of strong stochastic properties.It is possible to change over to a probabilistic description of such a sequence by considering not a definite initial value "x"(0) but the values "x"(0) = x distributed in the interval from 0 to 1 in accordance with a certain probabilistic distributional law "w"0("x").Then the values of "x"(s) terminating each era will also have distributions that follow certain laws "ws(x)".