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#### DISCRETE SYSTEMS WITH MEMORY

World Scientific Publishing Company 2011; US$ 123.00 US$ 111.93Memory 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$ 152.00 US$ 138.32Volume 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$ 135.00 US$ 122.85This 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 Automata

Oxford University Press 2003; US$ 69.99This book not only discusses cellular automata (CA) as accouterment for simulation, but also the actual building of devices within cellular automata. CA are widely used tools for simulation in physics, ecology, mathematics, and other fields. But they are also digital "toy universes" worthy of study in their own right, with their own laws of physics... more...

#### Cellular Automata

Wiley 2011; US$ 160.00 US$ 144.00An accessible and multidisciplinaryintroduction to cellular automata As the applicability of cellular automata broadens and technology advances, there is a need for a concise, yet thorough, resource that lays the foundation of key cellularautomata rules and applications. In recent years, Stephen Wolfram's A New Kind of Science has brought the modeling... more...

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

World Scientific Publishing Company 2007; US$ 229.00 US$ 208.39This 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$ 157.00 US$ 142.87This 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$ 116.00 US$ 105.56This 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$ 125.00 US$ 113.75Volume 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...

#### Modeling Chemical Systems using Cellular Automata

Springer Netherlands 2006; US$ 183.45Modeling Chemical Systems using Cellular Automata provides a practical introduction to an exciting modeling paradigm for complex systems. The book first discusses the nature of scientific inquiry using models and simulations, and then describes the nature of cellular automata models. It then gives detailed descriptions, with examples and exercises,... more...