Chaotic numbers

A generation of random and pseudorandom numbers with good statistical properties is one of the most important subjects of modern communication and simulation. The author discusses the possibility of generating random and pseudorandom numbers in the area of the strange attractor of the tent map. To estimate basic properties of generated numbers four measures are used: the value of Lyapunov exponent being a measure of average speed of divergance of initially close trajectories, the value of topological entropy being a measure of the average speed of 'mixing' of trajectory points and values of autocorrelation, crosscorrelation functions and their FFT transforms being the measure of 'self-similarity' or 'crossimilarity' of trajectory fragments.<
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