Identification Of Cellular Automata

Author: Andrew I. Adamatzky
Publisher: CRC Press
ISBN: 0748401725
Release Date: 1994-11-25
Genre: Science

This book presents the foundation and development of the theory of cellular automata identification and its application to natural systems. It first sets out the known and proposes the new classes of cellular automata. Numerous examples are included for ease of understanding. It then deals with the designs of algorithms for cellular automata identification. Conceptual questions of automata theory are next addressed and the focus is shifted from synthesis to analysis and from pronostication to accurate factorization. Finally, the author discusses a number of naturally occuring specific instances with a view to expanding and transforming current ideas on cellular automata practice.

Cellular Automata

Author: Joel L. Schiff
Publisher: John Wiley & Sons
ISBN: 9781118030639
Release Date: 2011-10-18
Genre: Mathematics

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.

Cellular Automata in Image Processing and Geometry

Author: Paul Rosin
Publisher: Springer
ISBN: 9783319064314
Release Date: 2014-05-29
Genre: Computers

The book presents findings, views and ideas on what exact problems of image processing, pattern recognition and generation can be efficiently solved by cellular automata architectures. This volume provides a convenient collection in this area, in which publications are otherwise widely scattered throughout the literature. The topics covered include image compression and resizing; skeletonization, erosion and dilation; convex hull computation, edge detection and segmentation; forgery detection and content based retrieval; and pattern generation. The book advances the theory of image processing, pattern recognition and generation as well as the design of efficient algorithms and hardware for parallel image processing and analysis. It is aimed at computer scientists, software programmers, electronic engineers, mathematicians and physicists, and at everyone who studies or develops cellular automaton algorithms and tools for image processing and analysis, or develops novel architectures and implementations of massive parallel computing devices. The book will provide attractive reading for a general audience because it has do-it-yourself appeal: all the computer experiments presented within it can be implemented with minimal knowledge of programming. The simplicity yet substantial functionality of the cellular automaton approach, and the transparency of the algorithms proposed, makes the text ideal supplementary reading for courses on image processing, parallel computing, automata theory and applications.

The Global Dynamics of Cellular Automata

Author: Andrew Wuensche
Publisher: Andrew Wuensche
ISBN: 0201557401
Release Date: 1992-01
Genre: Mathematics

Subtitled, An atlas of basin of attraction fields of one-dimensional cellular automata. Contains work previously unpublished in scientific journals that may have profound significance in many areas of the sciences of complexity, introducing a powerful global perspective for the study of discrete dynamical systems. The atlas is intended, with accompanying software, as an aid to navigation into rule behavior space and will be of interest to those involved with cellular automata theory, complex systems, dynamical systems, computational theory, artificial life, neural networks, and aspects of genetics. Annotation copyrighted by Book News, Inc., Portland, OR

Cellular Automata and Groups

Author: Tullio Ceccherini-Silberstein
Publisher: Springer Science & Business Media
ISBN: 3642140343
Release Date: 2010-08-24
Genre: Computers

Cellular automata were introduced in the first half of the last century by John von Neumann who used them as theoretical models for self-reproducing machines. The authors present a self-contained exposition of the theory of cellular automata on groups and explore its deep connections with recent developments in geometric group theory, symbolic dynamics, and other branches of mathematics and theoretical computer science. The topics treated include in particular the Garden of Eden theorem for amenable groups, and the Gromov-Weiss surjunctivity theorem as well as the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups. The volume is entirely self-contained, with 10 appendices and more than 300 exercises, and appeals to a large audience including specialists as well as newcomers in the field. It provides a comprehensive account of recent progress in the theory of cellular automata based on the interplay between amenability, geometric and combinatorial group theory, symbolic dynamics and the algebraic theory of group rings which are treated here for the first time in book form.

Cellular Automata in Hyperbolic Spaces

Author: Maurice Margenstern
Publisher: Archives contemporaines
ISBN: 9782847030334
Release Date: 2007
Genre: Cellular automata

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.

Nonlinear System Identification

Author: Stephen A. Billings
Publisher: John Wiley & Sons
ISBN: 9781118535554
Release Date: 2013-07-29
Genre: Technology & Engineering

Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal Domains describes a comprehensive framework for the identification and analysis of nonlinear dynamic systems in the time, frequency, and spatio-temporal domains. This book is written with an emphasis on making the algorithms accessible so that they can be applied and used in practice. Includes coverage of: The NARMAX (nonlinear autoregressive moving average with exogenous inputs) model The orthogonal least squares algorithm that allows models to be built term by term where the error reduction ratio reveals the percentage contribution of each model term Statistical and qualitative model validation methods that can be applied to any model class Generalised frequency response functions which provide significant insight into nonlinear behaviours A completely new class of filters that can move, split, spread, and focus energy The response spectrum map and the study of sub harmonic and severely nonlinear systems Algorithms that can track rapid time variation in both linear and nonlinear systems The important class of spatio-temporal systems that evolve over both space and time Many case study examples from modelling space weather, through identification of a model of the visual processing system of fruit flies, to tracking causality in EEG data are all included to demonstrate how easily the methods can be applied in practice and to show the insight that the algorithms reveal even for complex systems NARMAX algorithms provide a fundamentally different approach to nonlinear system identification and signal processing for nonlinear systems. NARMAX methods provide models that are transparent, which can easily be analysed, and which can be used to solve real problems. This book is intended for graduates, postgraduates and researchers in the sciences and engineering, and also for users from other fields who have collected data and who wish to identify models to help to understand the dynamics of their systems.

Computing in Nonlinear Media and Automata Collectives

Author: Andrew Adamatzky
Publisher: CRC Press
ISBN: 9781420034547
Release Date: 2001-06-22
Genre: Science

Computing in Nonlinear Media and Automata Collectives presents an account of new ways to design massively parallel computing devices in advanced mathematical models, such as cellular automata and lattice swarms, from unconventional materials, including chemical solutions, bio-polymers, and excitable media.

Additive Cellular Automata

Author: Parimal Pal Chaudhuri
Publisher: John Wiley & Sons
ISBN: 0818677171
Release Date: 1997
Genre: Mathematics

CA and its applications: a brief survey; group CA characterization; Characterization of nongroup CA; CA as a universal pattern generator; CA-based error correcting code; Design of CA-based cipher system; Generation of hashing functions; CA-based testable logic synthesis; Theory and application of two-dimensional CA; Bibliography; Index.

Cellular Automata

Author: Georgios Ch. Sirakoulis
Publisher: Springer
ISBN: 9783642333507
Release Date: 2012-09-20
Genre: Computers

This book constitutes the refereed proceedings of the 10th International Conference on Cellular Automata for Research and Industry, ACRI 2012, held in Santorini Island, Greece, in September 2012. The 88 revised papers were carefully selected from numerous submissions. In order to give a perspective in which both theoretical and applicational aspects of cellular automata contribute to the growth of the area, this book mirrors the structure of the conference, grouping the 88 papers into two main parts. The first part collects papers presented as part of the main conference and organized according to six main topics: theoretical results on cellular automata; cellular automata dynamics, control and synchronization; cellular automata and networks; modeling and simulation with cellular automata; cellular automata-based hardware and architectures; codes, pseudorandom number generators and cryptography with cellular automata. The second part of the volume is dedicated to contributions presented during the ACRI 2012 workshops on theoretical advances, specifically asynchronous cellular automata, and challenging application contexts for cellular automata: crowds and CA, traffic and CA, and the satellite Workshop on cellular automata of cancer growth and invasion.

Cellular Automaton Modeling of Biological Pattern Formation

Author: Andreas Deutsch
Publisher: Birkhäuser
ISBN: 9781489979803
Release Date: 2018-03-09
Genre: Mathematics

This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION “An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.” —Mathematical Reviews

Automata 2008

Author: Andrew Adamatzky
Publisher: Luniver Press
ISBN: 9781905986163
Release Date: 2008
Genre: Computers

Cellular automata are regular uniform networks of locally-connected finite-state machines. They are discrete systems with non-trivial behaviour. Cellular automata are ubiquitous: they are mathematical models of computation and computer models of natural systems. The book presents results of cutting edge research in cellular-automata framework of digital physics and modelling of spatially extended non-linear systems; massive-parallel computing, language acceptance, and computability; reversibility of computation, graph-theoretic analysis and logic; chaos and undecidability; evolution, learning and cryptography. The book is unique because it brings together unequalled expertise of inter-disciplinary studies at the edge of mathematics, computer science, engineering, physics and biology.

Modelling Urban Development with Geographical Information Systems and Cellular Automata

Author: Yan Liu
Publisher: CRC Press
ISBN: 1420059904
Release Date: 2008-12-10
Genre: Technology & Engineering

Urban development and migration from rural to urban areas are impacting prime agricultural land and natural landscapes, particularly in the less developed countries. These phenomena will persist and require serious study by those monitoring global environmental change. To address this need, various models have been devised to analyze urbanization and the physical, socioeconomic, and institutional factors impacting urban development. The most promising and rapidly developing of these paradigms take advantage of new Geographical Information System (GIS) technology. Modelling Urban Development with Geographical Information Systems and Cellular Automata presents one such cutting-edge model that is more than just predictive. It describes how the model simulates the urbanization process, and it provides theoretical context to promote understanding. Starting with a practical overview of the modelling techniques used in urban development research, the author focuses on the cellular automata model and its greatest strength – the incorporation of fuzzy set and fuzzy logic approaches through which urban development can be viewed as a spatially and temporally continuous process. Real-Life Application to Develop Future Planning Methods The text describes a landmark study underway, in which the fuzzy constrained cellular automata model has been implemented in a GIS environment to simulate urban development in Sydney, Australia. Featuring a survey of associated research and a geographical database for the Sydney simulation, this book answers many general "what if" questions for urban planners and details a new approach that they can adapt to their own testing and evaluation needs. This modeling method will provide researchers and planners with the means to not just predict population trends, but to better prepare for their consequences.