This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram s monumental New Kind of Science.Volume 2: From Bernoulli Shift to 1/f Spectrum; Fractals Everywhere; From Time-Reversible Attractors to the Arrow of Time; Mathematical Foundation of Bernoulli -Shift Maps; The Arrow of Time; Concluding Remarks.
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