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#### Game of Life Cellular Automata

Springer 2010; US$ 189.00In the late 1960s, British mathematician John Conway invented a virtual mathematical machine that operates on a two-dimensional array of square cell. Each cell takes two states, live and dead. The cells' states are updated simultaneously and in discrete time. A dead cell comes to life if it has exactly three live neighbours. A live cell remains... more...

#### DISCRETE SYSTEMS WITH MEMORY

World Scientific Publishing Company 2011; US$ 200.00Memory 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)

World Scientific Publishing Company 2011; US$ 247.00Volume 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)

World Scientific Publishing Company 2012; US$ 220.00This 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...

#### A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science (In 2 Volumes) - Volume II

World Scientific Publishing Company 2007; US$ 372.00This 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 I

World Scientific Publishing Company 2006; US$ 255.00This 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...

#### Nonlinear Dynamics Perspective of Wolfram's New Kind of Science (Volume VI)

World Scientific Publishing Company 2013; US$ 189.00This 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...

#### A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science - Volume III

World Scientific Publishing Company 2009; US$ 203.00Volume 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...

#### New Constructions in Cellular Automata

Oxford University Press, USA 2003; US$ 37.99Preface, 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...

#### Modeling Chemical Systems Using Cellular Automata

Springer 2006; US$ 239.00Provides a practical introduction to an exciting modeling paradigm for complex systems. This book discusses the nature of scientific inquiry using models and simulations, and describes the nature of cellular automata models. It gives descriptions of how cellular automata models can be used in the study of a variety of phenomena. more...