THE SEARCH FOR INDEPENDENCE IN CHAOTIC SYSTEMS

摘要

We show that, given the generalized chaotic sequences x_n = cos[2πθz~n], where z is a typical real number, any string x_s,x_(s+1),x_(s+2),...,x_(s+r) (for any r) constitutes a set of statistically independent random variables. We will discuss the relevance of this result to dynamical systems, real physical experiments, and new technological devices used in secure communications.