  We address the problem of applying the Kolmogorov-Sinai method of entropic
analysis, expressed in a generalized non-extensive form, to the dynamics of the
logistic map at the chaotic threshold, which is known to be characterized by a
power law rather than exponential sensitivity to initial conditions. The
computer treatment is made difficult, if not impossible, by the multifractal
nature of the natural invariant distribution: Thus the statistical average is
carried out on the power index. The resulting entropy time evolution becomes a
smooth and linear function of time with the non-extensive index Q < 1
prescribed by the heuristic arguments of earlier work, thereby showing how to
make the correct entropic prediction in the spirit of the single-trajectory
approach of Kolmogorov.
