Cellular Automata

Theory and Experiment

Author: Howard Gutowitz

Publisher: MIT Press

ISBN: 9780262570862

Category: Science

Page: 483

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The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Cellular automata, dynamic systems in which space and time are discrete, are yielding interesting applications in both the physical and natural sciences. The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Chapters cover mathematical analysis, the structure of the space of cellular automata, learning rules with specified properties: cellular automata in biology, physics, chemistry, and computation theory; and generalizations of cellular automata in neural nets, Boolean nets, and coupled map lattices.Current work on cellular automata may be viewed as revolving around two central and closely related problems: the forward problem and the inverse problem. The forward problem concerns the description of properties of given cellular automata. Properties considered include reversibility, invariants, criticality, fractal dimension, and computational power. The role of cellular automata in computation theory is seen as a particularly exciting venue for exploring parallel computers as theoretical and practical tools in mathematical physics. The inverse problem, an area of study gaining prominence particularly in the natural sciences, involves designing rules that possess specified properties or perform specified task. A long-term goal is to develop a set of techniques that can find a rule or set of rules that can reproduce quantitative observations of a physical system. Studies of the inverse problem take up the organization and structure of the set of automata, in particular the parameterization of the space of cellular automata. Optimization and learning techniques, like the genetic algorithm and adaptive stochastic cellular automata are applied to find cellular automaton rules that model such physical phenomena as crystal growth or perform such adaptive-learning tasks as balancing an inverted pole.Howard Gutowitz is Collaborateur in the Service de Physique du Solide et Résonance Magnetique, Commissariat a I'Energie Atomique, Saclay, France.
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Cellular Automata

Simplicity Behind Complexity

Author: Alejandro Salcido

Publisher: BoD – Books on Demand

ISBN: 953307230X

Category: Computers

Page: 582

View: 2726

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Cellular automata make up a class of completely discrete dynamical systems, which have became a core subject in the sciences of complexity due to their conceptual simplicity, easiness of implementation for computer simulation, and their ability to exhibit a wide variety of amazingly complex behavior. The feature of simplicity behind complexity of cellular automata has attracted the researchers' attention from a wide range of divergent fields of study of science, which extend from the exact disciplines of mathematical physics up to the social ones, and beyond. Numerous complex systems containing many discrete elements with local interactions have been and are being conveniently modelled as cellular automata. In this book, the versatility of cellular automata as models for a wide diversity of complex systems is underlined through the study of a number of outstanding problems using these innovative techniques for modelling and simulation.
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Quantum Cellular Automata

Theory, Experimentation and Prospects

Author: Massimo Macucci

Publisher: Imperial College Press

ISBN: 1860949061

Category: Computers

Page: 284

View: 3508

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The Quantum Cellular Automaton (QCA) concept represents an attempt to break away from the traditional three-terminal device paradigm that has dominated digital computation. Since its early formulation in 1993 at Notre Dame University, the QCA idea has received significant attention and several physical implementations have been proposed. This book provides a comprehensive discussion of the simulation approaches and the experimental work that have been undertaken on the fabrication of devices capable of demonstrating the fundamentals of QCA action. Complementary views of future perspectives for QCA technology are presented, highlighting a process of realistic simulation and of targeted experiments that can be assumed as a model for the evaluation of future device proposals. Contents: The Concept of Quantum-Dot Cellular Automata (C S Lent); QCA Simulation with the Occupation-Number Hamiltonian (M Macucci & M Governale); Realistic Time-Independent Models of a QCA Cell (J Martorell et al.); Time-Independent Simulation of QCA Circuits (L Bonci et al.); Simulation of the Time-Dependent Behavior of QCA Circuits with the Occupation-Number Hamiltonian (I Yakimenko & K-F Berggren); Time-Dependent Analysis of QCA Circuits with the Monte Carlo Method (L Bonci et al.); Implementation of QCA Cells with SOI Technology (F E Prins et al.); Implementation of QCA Cells in GaAs Technology (Y Jin et al.); Non-Invasive Charge Detectors (G Iannaccone et al.); Metal Dot QCA (G L Snider et al.); Molecular QCA (C S Lent); Magnetic Quantum-Dot Cellular Automata (MQCA) (A Imre et al.). Readership: Physicists, electronic engineers and academics.
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Cellular Automata

Author: Peter M.A. Sloot,International Conference on Cellular Automata for Research and Industry,Bastien Chopard

Publisher: Springer Science & Business Media

ISBN: 9783540235965

Category: Computers

Page: 883

View: 5011

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This book constitutes the refereed proceedings of the 6th International Conference on Cellular Automata for Research and Industry, ACRI 2004, held in Amsterdam, The Netherlands in October 2004. The 60 revised full papers and 30 poster papers presented were carefully reviewed and selected from 150 submissions. The papers are devoted to methods and theory; evolved cellular automata; traffic, networks, and communication; applications in science and engineering; biomedical applications, natural phenomena and ecology; and social and economical applications.
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Modern Cellular Automata

Theory and Applications

Author: Kendall Preston Jr.,Michael J.B. Duff

Publisher: Springer Science & Business Media

ISBN: 1489903933

Category: Computers

Page: 340

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It is with great pleasure that I present this fourth vol ume in the series "Advanced Applications in Pattern Recognition." It would be difficult to find two authors better versed in the design and application of parallel image processing systems, due to both their own many years of pioneering in the field and their encyclopedic knowledge of what is going on in uni versity and industrial laboratories around the world. The monograph is unique in its parallel presentation of orthogonal and hexagonal dissections, and the wealth of graphic illustration of algorithmic procedures for processing and analyz ing images in the various known implementations of parallel im age-processing architectures. This volume should find a place on the bookshelf of every practitioner of pattern recognition, image processing, and compu ter graphics. Morton Nadler General Editor vii PREFACE This book endeavors to introduce the reader to the subject of cellular logic and cellular automata and is devoted particu larly to those parts dealing with the manipulation of pictorial data. The study of cellular automata owes much to the pioneer ing work of John von Neumann during the 1950s. Von Neumann was interested in general problems in the behavior of computing structures and was immensely impressed by the complexity and performance of the human brain, which he felt must point to wards successful designs for automatic computing machines.
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Cellular Automata in Hyperbolic Spaces

Theory. Volume 1

Author: Maurice Margenstern

Publisher: Archives contemporaines

ISBN: 2847030336

Category: Cellular automata

Page: 422

View: 1981

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The book introduces a hot topic of mathematics and computer science at the edge of hyperbolic geometry and cellular automata. A hyperbolic space is a geometric model where through a given point, there are two distinct parallels to a given line. A cellular automaton is a set of cells which are uniformly distributed in a space, connected locally and update their States by the same rule. The volume presents novel results on location of tiles in many tilings of the hyperbolic place. These results are employed to implement emerging non-classical types of cellular automata and offer insights of accessing and transferring information in hyperbolic spaces. Hyperbolic geometry is an essential part of theoretical astrophysicists and cosmology, therefore ideas discussed in the book will play an important role in the theory of relativity. Besides specialists of there traditional fields of application, many specialists of new domains start to show a growing interest both, to hyperbolic geometry and to cellular automata. This is especially the case in biology and in computer science. The book is unique because it skilfully hybridises two different domains of geometry and computation in a way beneficial for mathematics, computer science and engineering. The book is an outstanding treatise of concepts and implementations which will last for decades.
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Cellular Automata Machines

A New Environment for Modeling

Author: Tommaso Toffoli,Norman Margolus

Publisher: MIT Press

ISBN: 9780262200608

Category: Computers

Page: 259

View: 2412

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Theory of Computation -- Computation by Abstracts Devices.
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Game of Life Cellular Automata

Author: Andrew Adamatzky

Publisher: Springer Science & Business Media

ISBN: 9781849962179

Category: Computers

Page: 579

View: 5408

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In 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 alive if two or three of its neighbours are alive, otherwise the cell dies. Conway’s Game of Life became the most programmed solitary game and the most known cellular automaton. The book brings together results of forty years of study into computational, mathematical, physical and engineering aspects of The Game of Life cellular automata. Selected topics include phenomenology and statistical behaviour; space-time dynamics on Penrose tilling and hyperbolic spaces; generation of music; algebraic properties; modelling of financial markets; semi-quantum extensions; predicting emergence; dual-graph based analysis; fuzzy, limit behaviour and threshold scaling; evolving cell-state transition rules; localization dynamics in quasi-chemical analogues of GoL; self-organisation towards criticality; asynochrous implementations. The volume is unique because it gives a comprehensive presentation of the theoretical and experimental foundations, cutting-edge computation techniques and mathematical analysis of the fabulously complex, self-organized and emergent phenomena defined by incredibly simple rules.
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Simulation with Cellular Automata

Author: Jörg R. Weimar

Publisher: Logos Verlag Berlin

ISBN: 9783897220263

Category: Science

Page: 199

View: 6462

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This book is an introduction to cellular automata for students or scientists of any discipline wishing to simulate real or imagined systems with spatial extent. The concept of cellular automata is described in simple terms and the design decisions for using CA in simulation are discussed in detail. Hard- and software for cellular automata are presented with many examples are given, including reaction-diffusion systems, lattice gas models for fluid flow, traffic simulation, and others. Each chapter concludes with some exercise problems.
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Cellular Automata

8th International Conference on Cellular Automata for Research and Industry, ACRI 2008, Yokohama, Japan, September 23-26, 2008, Proceedings

Author: International Conference on Cellular Automata for Research and Industry

Publisher: Springer Science & Business Media

ISBN: 3540799915

Category: Computers

Page: 577

View: 8158

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This volume constitutes the proceedings of the 8th International Conference on Cellular Automata for Research and Industry, ACRI 2008, which took place in Yokohama, Japan, September 23-26,2008. The conference, which was organized by YokohamaNational University, was the eighth in a series of conferences in- guratedin1994inRende, Italy, andfollowedbyACRI1996inMilan, Italy, ACRI 1998in Trieste, Italy, ACRI 2000in Karlsruhe, Germany, ACRI 2002in Geneva, Switzerland, ACRI2004inAmsterdam, TheNetherlandsandACRI2006inP- pignan, France. The ACRI conference has been traditionally focused on challenging problems and new research not only in theoretical but application aspects of cellular - tomata, including cellular automata tools and computational sciences. It is also concerned with applications and solutions of problems from the ?elds of physics, engineering, environmentscience, socialscienceandlifesciences.Itsprimarygoal istodiscussproblemsfromavarietyofscienti?c?elds, toidentify newissuesand to enlarge the research ?elds of cellular automata. Since its inception, the ACRI conference has attracted an ever-growing community and has raised knowledge andinterestinthe studyofcellularautomataforbothnewentrantsintothe ?eld aswellasresearchersalreadyworkingonparticularaspectsofcellularautomata. First invented by von Neumann, cellular automata models have been po- larizedandinvestigatedinmanyareasduring thelastfew decades.They provide a mathematically rigorous framework for a class of discrete dynamical systems that allow complex, unpredictable behavior to emerge from the deterministic - calinteractionsofmanysimple components operatinginparallelanddistributed manner.
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