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Author : Lieven Le Bruyn
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (461 download)
Download or read book Periodicity in additive cellular automata written by Lieven Le Bruyn and published by . This book was released on 1987 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Parimal Pal Chaudhuri
Publisher : John Wiley & Sons
ISBN 13 : 9780818677175
Total Pages : 372 pages
Book Rating : 4.6/5 (771 download)
Download or read book Additive Cellular Automata written by Parimal Pal Chaudhuri and published by John Wiley & Sons. This book was released on 1997-07-11 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an extensive survey and report of related research on important developments in cellular automata (CA) theory. The authors introduce you to this theory in a comprehensive manner that will help you understand the basics of CA and be prepared for further research. They illustrate the matrix algebraic tools that characterize group CA and help develop its applications in the field of VLSI testing. The text examines schemes based on easily testable FSM, bit-error correcting code, byte error correcting code, and characterization of 2D cellular automata. In addition, it looks into CA-based universal pattern generation, data encryption, and synthesis of easily testable combinational logic. The book covers new characterizations of group CA behavior, CA-based tools for fault diagnosis, and a wide variety of applications to solve real-life problems.
Author : Parimal Pal Chaudhuri
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (174 download)
Download or read book Additive Cellular Automata written by Parimal Pal Chaudhuri and published by . This book was released on with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Burton H. Voorhees
Publisher : World Scientific
ISBN 13 : 9810222211
Total Pages : 287 pages
Book Rating : 4.8/5 (12 download)
Download or read book Computational Analysis of One-dimensional Cellular Automata written by Burton H. Voorhees and published by World Scientific. This book was released on 1996 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular automata provide one of the most interesting avenues into the study of complex systems in general, as well as having an intrinsic interest of their own. Because of their mathematical simplicity and representational robustness they have been used to model economic, political, biological, ecological, chemical, and physical systems. Almost any system which can be treated in terms of a discrete representation space in which the dynamics is based on local interaction rules can be modelled by a cellular automata.The aim of this book is to give an introduction to the analysis of cellular automata (CA) in terms of an approach in which CA rules are viewed as elements of a nonlinear operator algebra, which can be expressed in component form much as ordinary vectors are in vector algebra. Although a variety of different topics are covered, this viewpoint provides the underlying theme. The actual mathematics used is not hard, and the material should be accessible to anyone with a junior level university background, and a certain degree of mathematical maturity.
Author : Stephen Wolfram
Publisher : CRC Press
ISBN 13 : 0429962649
Total Pages : 608 pages
Book Rating : 4.4/5 (299 download)
Download or read book Cellular Automata And Complexity written by Stephen Wolfram and published by CRC Press. This book was released on 2018-03-08 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the underlying rules are very simple, the behaviour they produce can be highly complex, and can mimic many features of what we see in nature. And based on this result, Wolfram began a program of research to develop what he called A Science of Complexity."The results of Wolfram's work found many applications, from the so-called Wolfram Classification central to fields such as artificial life, to new ideas about cryptography and fluid dynamics. This book is a collection of Wolfram's original papers on cellular automata and complexity. Some of these papers are widely known in the scientific community others have never been published before. Together, the papers provide a highly readable account of what has become a major new field of science, with important implications for physics, biology, economics, computer science and many other areas.
Author : Burton Voorhees
Publisher : World Scientific
ISBN 13 : 9814500585
Total Pages : 287 pages
Book Rating : 4.8/5 (145 download)
Download or read book Computational Analysis Of One-dimensional Cellular Automata written by Burton Voorhees and published by World Scientific. This book was released on 1995-12-31 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular automata provide one of the most interesting avenues into the study of complex systems in general, as well as having an intrinsic interest of their own. Because of their mathematical simplicity and representational robustness they have been used to model economic, political, biological, ecological, chemical, and physical systems. Almost any system which can be treated in terms of a discrete representation space in which the dynamics is based on local interaction rules can be modelled by a cellular automata.The aim of this book is to give an introduction to the analysis of cellular automata (CA) in terms of an approach in which CA rules are viewed as elements of a nonlinear operator algebra, which can be expressed in component form much as ordinary vectors are in vector algebra. Although a variety of different topics are covered, this viewpoint provides the underlying theme. The actual mathematics used is not hard, and the material should be accessible to anyone with a junior level university background, and a certain degree of mathematical maturity.
Author : Xiaochen Liu
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.5/5 (825 download)
Download or read book Cellular Automata with Random Rules written by Xiaochen Liu and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study one-dimensional cellular automata (CA) whose rules are chosen at random from among $r$-neighbor rules with a large number $n$ of states. In particular, we are interested in CA evolutions with both temporal and spatial periodicity, the periodic solutions (PS). Our main focus are the properties of PS of a randomly chosen n-state CA rule, for large n. We prove that, when r = 2, the limiting probability that a random rule has a PS with given spatial and temporal periods is nontrivial when the periods are confined to a finite range. As a corollary, the shortest temporal period of PS with a given spatial period [sigma] is stochastically bounded. By contrast, the longest temporal period of a PS with a given spatial period [sigma] is of order n[superscript sigma/2], for any r and [sigma] such that [sigma] [less than or equal to] r. In addition, we also explore PS that exhibit certain robustness, weakly robust periodic solutions (WRPS). We show that the probability of existence of WRPS within a finite range of periods is asymptotically 1/n, if r = 2 and the range satisfies a divisibility condition. We also study the analogous questions for deterministic rules when r = 2. When [sigma] = 2, 3, 4, or 6, and we restrict the rules to be additive, we show that the longest period can be expressed as the exponent of the multiplicative group of an appropriate ring. We also construct non-additive rules with temporal period on the same order as the trivial upper bound n[superscript sigma]. Additionally, we present a natural extension to the R-algorithm from the fundamental paper [GG12]that finds robust periodic solution (RPS) and present a proof of the scarcity of bounded growth. Experimental results, open problems, and possible extensions of our results are also discussed to each problem that we study.
Author : Howard Gutowitz
Publisher : MIT Press
ISBN 13 : 9780262570862
Total Pages : 510 pages
Book Rating : 4.5/5 (78 download)
Download or read book Cellular Automata written by Howard Gutowitz and published by MIT Press. This book was released on 1991 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : E. F. Codd
Publisher : Academic Press
ISBN 13 : 1483225178
Total Pages : 133 pages
Book Rating : 4.4/5 (832 download)
Download or read book Cellular Automata written by E. F. Codd and published by Academic Press. This book was released on 2014-06-28 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular Automata presents the fundamental principles of homogeneous cellular systems. This book discusses the possibility of biochemical computers with self-reproducing capability. Organized into eight chapters, this book begins with an overview of some theorems dealing with conditions under which universal computation and construction can be exhibited in cellular spaces. This text then presents a design for a machine embedded in a cellular space or a machine that can compute all computable functions and construct a replica of itself in any accessible and sufficiently large region of the space. Other chapters consider simulation of one cellular space by another. This book discusses as well the goal of exhibiting universal computer-constructor. The final chapter deals with the use of a digital computer for research in cellular automata. This book is a valuable resource for computer designers and programmers who want a better understanding of the principles of homogeneous cellular systems. Automata theoreticians and biochemists will also find this book useful.
Author : Max Garzon
Publisher : Springer Science & Business Media
ISBN 13 : 3642779050
Total Pages : 284 pages
Book Rating : 4.6/5 (427 download)
Download or read book Models of Massive Parallelism written by Max Garzon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Locality is a fundamental restriction in nature. On the other hand, adaptive complex systems, life in particular, exhibit a sense of permanence and time lessness amidst relentless constant changes in surrounding environments that make the global properties of the physical world the most important problems in understanding their nature and structure. Thus, much of the differential and integral Calculus deals with the problem of passing from local information (as expressed, for example, by a differential equation, or the contour of a region) to global features of a system's behavior (an equation of growth, or an area). Fundamental laws in the exact sciences seek to express the observable global behavior of physical objects through equations about local interaction of their components, on the assumption that the continuum is the most accurate model of physical reality. Paradoxically, much of modern physics calls for a fundamen tal discrete component in our understanding of the physical world. Useful computational models must be eventually constructed in hardware, and as such can only be based on local interaction of simple processing elements.
Author : Andrew Wuensche
Publisher : Andrew Wuensche
ISBN 13 : 9780201557404
Total Pages : 274 pages
Book Rating : 4.5/5 (574 download)
Download or read book Global Dynamics Of Cellular Automata written by Andrew Wuensche and published by Andrew Wuensche. This book was released on 1992-09-20 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces a powerful new global perspective for the study of discrete dynamical systems. After first looking at the unique trajectory of a system's future, an algorithm is also presented that directly computes the multiple merging trajectories that may have constituted the system's past. A given set of cellular parameters will, in a sense, crystallize state space into a set of basins of attraction that will typically have the topology of branching trees rooted on attractor cycles. The book makes accessible the explicit portraits of these mathematical objects through computer-generated graphics. (Book/disk package disk requires an 80286, or higher, IBM PC or compatible with 640K of memory, VGA graphics, and DOS 2.0 or higher.
Author : Stephen Wolfram
Publisher : CRC Press
ISBN 13 : 0429973721
Total Pages : 615 pages
Book Rating : 4.4/5 (299 download)
Download or read book Cellular Automata And Complexity written by Stephen Wolfram and published by CRC Press. This book was released on 2018-03-08 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the underlying rules are very simple, the behaviour they produce can be highly complex, and can mimic many features of what we see in nature. And based on this result, Wolfram began a program of research to develop what he called A Science of Complexity."The results of Wolfram's work found many applications, from the so-called Wolfram Classification central to fields such as artificial life, to new ideas about cryptography and fluid dynamics. This book is a collection of Wolfram's original papers on cellular automata and complexity. Some of these papers are widely known in the scientific community others have never been published before. Together, the papers provide a highly readable account of what has become a major new field of science, with important implications for physics, biology, economics, computer science and many other areas.
Author : Joel L. Schiff
Publisher : John Wiley & Sons
ISBN 13 : 111803063X
Total Pages : 280 pages
Book Rating : 4.1/5 (18 download)
Download or read book Cellular Automata written by Joel L. Schiff and published by John Wiley & Sons. This book was released on 2011-10-18 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: An 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 power that lies in cellular automata to the attentionof the scientific world, and now, Cellular Automata: A Discrete View of the World presents all the depth, analysis, and applicability of the classic Wolfram text in a straightforward, introductory manner. This book offers an introduction to cellular automata as a constructive method for modeling complex systems where patterns of self-organization arising from simple rules are revealed in phenomena that exist across a wide array of subject areas, including mathematics, physics, economics, and the social sciences. The book begins with a preliminary introduction to cellular automata, including a brief history of the topic along with coverage of sub-topics such as randomness, dimension, information, entropy, and fractals. The author then provides a complete discussion of dynamical systems and chaos due to their close connection with cellular automata and includes chapters that focus exclusively on one- and two-dimensional cellular automata. The next and most fascinating area of discussion is the application of these types of cellular automata in order to understand the complex behavior that occurs in natural phenomena. Finally, the continually evolving topic of complexity is discussed with a focus on how to properly define, identify, and marvel at its manifestations in various environments. The author's focus on the most important principles of cellular automata, combined with his ability to present complex material in an easy-to-follow style, makes this book a very approachable and inclusive source for understanding the concepts and applications of cellular automata. The highly visual nature of the subject is accented with over 200 illustrations, including an eight-page color insert, which provide vivid representations of the cellular automata under discussion. Readers also have the opportunity to follow and understand the models depicted throughout the text and create their own cellular automata using Java applets and simple computer code, which are available via the book's FTP site. This book serves as a valuable resource for undergraduate and graduate students in the physical, biological, and social sciences and may also be of interest to any reader with a scientific or basic mathematical background.
Author : Stefania Bandini
Publisher : Springer
ISBN 13 : 3642159796
Total Pages : 686 pages
Book Rating : 4.6/5 (421 download)
Download or read book Cellular Automata written by Stefania Bandini and published by Springer. This book was released on 2010-09-20 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Cellular Automata for Research and Industry, ACRI 2010, held in Ascoli Piceno, Italy, in September 2010. The first part of the volume contains 39 revised papers that were carefully reviewed and selected from the main conference; they are organized according to six main topics: theoretical results on cellular automata, modeling and simulation with cellular automata, CA dynamics, control and synchronization, codes and cryptography with cellular automata, cellular automata and networks, as well as CA-based hardware. The second part of the volume comprises 35 revised papers dedicated to contributions presented during ACRI 2010 workshops on theoretical advances, specifically asynchronous cellular automata, and challenging application contexts for cellular automata: crowds and CA, traffic and CA, and the international workshop of natural computing.
Author : Samira El Yacoubi
Publisher : Springer Science & Business Media
ISBN 13 : 3540409297
Total Pages : 750 pages
Book Rating : 4.5/5 (44 download)
Download or read book Cellular Automata written by Samira El Yacoubi and published by Springer Science & Business Media. This book was released on 2006-09-19 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Cellular Automata for Research and Industry, ACRI 2006. The book presents 53 revised full papers and 19 revised poster papers together with 6 invited lectures. Topical sections include CA theory and implementation, computational theory, population dynamics, physical modeling, urban, environmental and social modeling, traffic and boolean networks, multi-agents and robotics, as well as crowds and cellular automata, and more.
Author : Peter M.A. Sloot
Publisher : Springer
ISBN 13 : 3540304797
Total Pages : 899 pages
Book Rating : 4.5/5 (43 download)
Download or read book Cellular Automata written by Peter M.A. Sloot and published by Springer. This book was released on 2004-09-28 with total page 899 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Alejandro Salcido
Publisher : BoD – Books on Demand
ISBN 13 : 9535111019
Total Pages : 208 pages
Book Rating : 4.5/5 (351 download)
Download or read book Emerging Applications of Cellular Automata written by Alejandro Salcido and published by BoD – Books on Demand. This book was released on 2013-05-08 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular automata have become a core subject in the sciences of complexity due to their conceptual simplicity, easiness of implementation for computer simulation, and ability to exhibit a wide variety of amazingly complex behavior. These features of cellular automata have attracted the researchers attention from a wide range of divergent fields of science. In this book, six outstanding emerging cellular automata applications have been compiled. These contributions underline the versatility of cellular automata as models for a wide diversity of complex systems. We hope that, after reading the outstanding contributions compiled in this book, we will have succeeded in bringing across what engineers and scientists are now doing about the application of cellular automata for solving practical problems in diverse disciplines. We also hope that this book will have been to your interest and liking. Lastly, we would like to thank all the authors for their excellent contributions in the different topics of cellular automata covered in this book.
