A Nonlinear Dynamics Perspective Wolfram's New Kind of Science, Vol. 2 (World Scientific Series on Nonlinear Science: Series A)

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.