edited by Leon O Chua (University of California at Berkeley, USA)

Table of Contents (111k)
Preface (66k)
Chapter 4: From Bernoulli Shift to 1/f Spectrum (22,507k)

About the Editor

Leon Chua is a foreign member of the Academia Europea and a recipient of eight USA patents and 12 Docteur Honoris Causa. He has received numerous international awards, including the first IEEE Kirchhoff Award, the Neural Networks Pioneer Award, and the “Top 15 Cited Authors” Award, based on the ISA Citation Index in Engineering from 1991 to 2001. When not immersed in science, he relaxes by searching for Wagner's leitmotifs, musing over Kandinsky's chaos, and contemplating Wittgenstein's inner thoughts.

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 1:
  • Threshold of Complexity
  • Universal Neuron
  • Predicting the Unpredictable
• Volume 2:
  • From Bernoulli Shift to 1/f Spectrum
  • Fractals Everywhere
  • From Time-Reversible Attractors to the Arrow of Time
  • Mathematical Foundation of Bernoulli σ_τ-Shift Maps
  • The Arrow of Time
  • Concluding Remarks