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Cellular automata

Most popular at the top

  • DISCRETE SYSTEMS WITH MEMORYby Ramon Alonso-Sanz

    World Scientific Publishing Company 2011; US$ 200.00

    Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions. It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete... more...

  • NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE, A (VOLUME IV)by Leon O. Chua

    World Scientific Publishing Company 2011; US$ 247.00

    Volume IV continues the author's odyssey on l-D cellular automata as chronicled in Volumes I, II and III, by uncovering a novel quasi-ergodicity phenomenon involving orbits meandering among omega-limit orbits of complex (group 5) and hyper (group 6) Bernoulli rules. This discovery is embellished with analytical formulas characterizing the fractal... more...

  • A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science (Volume V)by Leon O. Chua

    World Scientific Publishing Company 2012; US$ 220.00

    This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration.... more...

  • New Constructions in Cellular Automataby David Griffeath; Cristopher Moore

    Oxford University Press, USA 2003; US$ 37.99

    Preface, Cristopher Moore and David Griffeath. Self-Organized Construction in Sparse Random Arrays of Conway's Game of Life, Nicholas M. Gotts. Synthesis of Complex Life Objects from Gliders, Mark D. Niemiec. A Two-Dimensional Cellular Automaton Crystal with Irrational Density, David Griffeath and Dean Hickerson. Still Life Theory, Matthew Cook.... more...

  • A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science (In 2 Volumes) - Volume IIby Leon O. Chua

    World Scientific Publishing Company 2007; US$ 372.00

    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... more...

  • A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science (In 2 Volumes) - Volume Iby Leon O. Chua

    World Scientific Publishing Company 2006; US$ 255.00

    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... more...

  • A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science - Volume IIIby Leon O. Chua

    World Scientific Publishing Company 2009; US$ 203.00

    Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes... more...

  • Cellular Automataby Joel L. Schiff

    Wiley 2011; US$ 155.00

    Joel L. Schiff, PhD, is Senior Lecturer in the Department of Mathematics at The University of Auckland, New Zealand. Dr. Schiff received his PhD from the University of California-Los Angelesand has published numerous articles and two books on his research specialties, which include complex function theory, potential theory, cellular automata, and... more...

  • Game of Life Cellular Automataby Andrew Adamatzky

    Springer London 2010; US$ 189.00

    Simple to understand examples of cellular automata dynamics Abundance of illustrations, working examples, and codes Efficient techniques for evaluating space-time dynamics of discrete non-linear systems References to online interacting demonstrations Overview of exciting concepts at the edge of mathematics, computer science, engineering and physics more...

  • Nonlinear Dynamics Perspective of Wolfram's New Kind of Science (Volume VI)by Leon O. Chua

    World Scientific Publishing Company 2013; US$ 189.00

    This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous... more...