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.”
Contents:
- Volumes I:
- Threshold of Complexity
- Universal Neuron
- Predicting the Unpredictable
- Volumes II:
- From Bernoulli Shift to 1/f Spectrum
- Fractals Everywhere
- From Time-Reversible Attractors to the Arrow of Time
- Mathematical Foundation of Bernoulli στ-Shift Maps
- The Arrow of Time
- Concluding Remarks
Readership: Graduate students, academics and researchers in nonlinear dynamics, computer science and complexity theory.
"This book is a colourful presentation with fresh ideas and attractive illustrations … those studying non-linear sciences, electronic engineering, mathematics and logics, complexity and emergent phenomena, and possibly even chemistry and biology will certainly discover exciting concepts, analogies and research tools in this refreshing text. Anyone from freshmen to elderly academics will find parts interesting to them. The volumes are somewhat special and exciting because they possess a unique 'Chua brand' and show gradual development of ideas and concepts in an educational and entertaining hence mathematically rigorous manner."
Journal of Cellular Automata
"There is much of interest here, and in particular many interesting examples presented in novel ways."
Zentralblatt MATH
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.
