Reaction-Diffusion Automata: Phenomenology, Localisations, Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 364231077X
Total Pages : 328 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Reaction-Diffusion Automata: Phenomenology, Localisations, Computation by : Andrew Adamatzky

Download or read book Reaction-Diffusion Automata: Phenomenology, Localisations, Computation written by Andrew Adamatzky and published by Springer Science & Business Media. This book was released on 2012-09-11 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reaction-diffusion and excitable media are amongst most intriguing substrates. Despite apparent simplicity of the physical processes involved the media exhibit a wide range of amazing patterns: from target and spiral waves to travelling localisations and stationary breathing patterns. These media are at the heart of most natural processes, including morphogenesis of living beings, geological formations, nervous and muscular activity, and socio-economic developments. This book explores a minimalist paradigm of studying reaction-diffusion and excitable media using locally-connected networks of finite-state machines: cellular automata and automata on proximity graphs. Cellular automata are marvellous objects per se because they show us how to generate and manage complexity using very simple rules of dynamical transitions. When combined with the reaction-diffusion paradigm the cellular automata become an essential user-friendly tool for modelling natural systems and designing future and emergent computing architectures. The book brings together hot topics of non-linear sciences, complexity, and future and emergent computing. It shows how to discover propagating localisation and perform computation with them in very simple two-dimensional automaton models. Paradigms, models and implementations presented in the book strengthen the theoretical foundations in the area for future and emergent computing and lay key stones towards physical embodied information processing systems.

From Astrophysics to Unconventional Computation

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Publisher : Springer
ISBN 13 : 303015792X
Total Pages : 415 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis From Astrophysics to Unconventional Computation by : Andrew Adamatzky

Download or read book From Astrophysics to Unconventional Computation written by Andrew Adamatzky and published by Springer. This book was released on 2019-04-16 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift is a tribute to Susan Stepney’s ideas and achievements in the areas of computer science, formal specifications and proofs, complex systems, unconventional computing, artificial chemistry, and artificial life. All chapters were written by internationally recognised leaders in computer science, physics, mathematics, and engineering. The book shares fascinating ideas, algorithms and implementations related to the formal specification of programming languages and applications, behavioural inheritance, modelling and analysis of complex systems, parallel computing and non-universality, growing cities, artificial life, evolving artificial neural networks, and unconventional computing. Accordingly, it offers an insightful and enjoyable work for readers from all walks of life, from undergraduate students to university professors, from mathematicians, computers scientists and engineers to physicists, chemists and biologists.

Theory and Practice of Natural Computing

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Publisher : Springer
ISBN 13 : 3030040704
Total Pages : 478 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Theory and Practice of Natural Computing by : David Fagan

Download or read book Theory and Practice of Natural Computing written by David Fagan and published by Springer. This book was released on 2018-12-05 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Theory and Practice of Natural Computing, TPNC 2017, held in Dublin, Ireland, in December 2018. The 35 full papers presented in this book, together with one invited talk, were carefully reviewed and selected from 69 submissions. The papers are organized around the following topical sections: applications of natural computing as algorithms, bioinformatics, control, cryptography, design, economics. The more theoretical contributions handle with artificial chemistry, artificial immune systems, artificial life, cellular automata, cognitive computing, cognitive engineering, cognitive robotics, collective behaviour, complex systems, computational intelligence, computational social science, computing with words, developmental systems, DNA computing, DNA nanotechnology, evolutionary algorithms, evolutionary computing, evolutionary game theory, fractal geometry, fuzzy control, fuzzy logic, fuzzy sets, fuzzy systems, genetic algorithms, genetic programming, granular computing, heuristics, intelligent agents, intelligent systems, machine intelligence, molecular programming, neural computing, neural networks, quantum communication, quantum computing, rough sets, self-assembly.

Advances in Unconventional Computing

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Publisher : Springer
ISBN 13 : 3319339214
Total Pages : 810 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Advances in Unconventional Computing by : Andrew Adamatzky

Download or read book Advances in Unconventional Computing written by Andrew Adamatzky and published by Springer. This book was released on 2016-07-26 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unconventional computing is a niche for interdisciplinary science, cross-bred of computer science, physics, mathematics, chemistry, electronic engineering, biology, material science and nanotechnology. The aims of this book are to uncover and exploit principles and mechanisms of information processing in and functional properties of physical, chemical and living systems to develop efficient algorithms, design optimal architectures and manufacture working prototypes of future and emergent computing devices. This second volume presents experimental laboratory prototypes and applied computing implementations. Emergent molecular computing is presented by enzymatic logical gates and circuits, and DNA nano-devices. Reaction-diffusion chemical computing is exemplified by logical circuits in Belousov-Zhabotinsky medium and geometrical computation in precipitating chemical reactions. Logical circuits realised with solitons and impulses in polymer chains show advances in collision-based computing. Photo-chemical and memristive devices give us a glimpse on hot topics of a novel hardware. Practical computing is represented by algorithms of collective and immune-computing and nature-inspired optimisation. Living computing devices are implemented in real and simulated cells, regenerating organisms, plant roots and slime mould. The book is the encyclopedia, the first ever complete authoritative account, of the theoretical and experimental findings in the unconventional computing written by the world leaders in the field. All chapters are self-contains, no specialist background is required to appreciate ideas, findings, constructs and designs presented. This treatise in unconventional computing appeals to readers from all walks of life, from high-school pupils to university professors, from mathematicians, computers scientists and engineers to chemists and biologists.

Automata, Universality, Computation

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Publisher : Springer
ISBN 13 : 3319090399
Total Pages : 421 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Automata, Universality, Computation by : Andrew Adamatzky

Download or read book Automata, Universality, Computation written by Andrew Adamatzky and published by Springer. This book was released on 2014-11-15 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an intellectually stimulating excursion into mathematical machines and structures capable for a universal computation. World top experts in computer science and mathematics overview exciting and intriguing topics of logical theory of monoids, geometry of Gauss word, philosophy of mathematics in computer science, asynchronous and parallel P-systems, decidability in cellular automata, splicing systems, reversible Turing machines, information flows in two-way finite automata, prime generators in automaton arrays, Grossone and Turing machines, automaton models of atomic lattices. The book is full of visually attractive examples of mathematical machines, open problems and challenges for future research. Those interested in the advancement of a theory of computation, philosophy of mathematics, future and emergent computing paradigms, architectures and implementations will find the book vital for their research and development.

Parallel Problem Solving from Nature -- PPSN XIII

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Publisher : Springer
ISBN 13 : 3319107623
Total Pages : 977 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Parallel Problem Solving from Nature -- PPSN XIII by : Thomas Bartz-Beielstein

Download or read book Parallel Problem Solving from Nature -- PPSN XIII written by Thomas Bartz-Beielstein and published by Springer. This book was released on 2014-09-11 with total page 977 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Parallel Problem Solving from Nature, PPSN 2013, held in Ljubljana, Slovenia, in September 2014. The total of 90 revised full papers were carefully reviewed and selected from 217 submissions. The meeting began with 7 workshops which offered an ideal opportunity to explore specific topics in evolutionary computation, bio-inspired computing and metaheuristics. PPSN XIII also included 9 tutorials. The papers are organized in topical sections on adaption, self-adaption and parameter tuning; classifier system, differential evolution and swarm intelligence; coevolution and artificial immune systems; constraint handling; dynamic and uncertain environments; estimation of distribution algorithms and metamodelling; genetic programming; multi-objective optimisation; parallel algorithms and hardware implementations; real world applications; and theory.

Reaction-Diffusion Automata: Phenomenology, Localisations, Computation

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642310788
Total Pages : 328 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Reaction-Diffusion Automata: Phenomenology, Localisations, Computation by : Andrew Adamatzky

Download or read book Reaction-Diffusion Automata: Phenomenology, Localisations, Computation written by Andrew Adamatzky and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reaction-diffusion and excitable media are amongst most intriguing substrates. Despite apparent simplicity of the physical processes involved the media exhibit a wide range of amazing patterns: from target and spiral waves to travelling localisations and stationary breathing patterns. These media are at the heart of most natural processes, including morphogenesis of living beings, geological formations, nervous and muscular activity, and socio-economic developments. This book explores a minimalist paradigm of studying reaction-diffusion and excitable media using locally-connected networks of finite-state machines: cellular automata and automata on proximity graphs. Cellular automata are marvellous objects per se because they show us how to generate and manage complexity using very simple rules of dynamical transitions. When combined with the reaction-diffusion paradigm the cellular automata become an essential user-friendly tool for modelling natural systems and designing future and emergent computing architectures. The book brings together hot topics of non-linear sciences, complexity, and future and emergent computing. It shows how to discover propagating localisation and perform computation with them in very simple two-dimensional automaton models. Paradigms, models and implementations presented in the book strengthen the theoretical foundations in the area for future and emergent computing and lay key stones towards physical embodied information processing systems.

Designing Beauty: The Art of Cellular Automata

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Author :
Publisher : Springer
ISBN 13 : 3319272705
Total Pages : 188 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Designing Beauty: The Art of Cellular Automata by : Andrew Adamatzky

Download or read book Designing Beauty: The Art of Cellular Automata written by Andrew Adamatzky and published by Springer. This book was released on 2016-01-05 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating, colourful book offers in-depth insights and first-hand working experiences in the production of art works, using simple computational models with rich morphological behaviour, at the edge of mathematics, computer science, physics and biology. It organically combines ground breaking scientific discoveries in the theory of computation and complex systems with artistic representations of the research results. In this appealing book mathematicians, computer scientists, physicists, and engineers brought together marvelous and esoteric patterns generated by cellular automata, which are arrays of simple machines with complex behavior. Configurations produced by cellular automata uncover mechanics of dynamic patterns formation, their propagation and interaction in natural systems: heart pacemaker, bacterial membrane proteins, chemical rectors, water permeation in soil, compressed gas, cell division, population dynamics, reaction-diffusion media and self-organisation. The book inspires artists to take on cellular automata as a tool of creativity and it persuades scientists to convert their research results into the works of art. The book is lavishly illustrated with visually attractive examples, presented in a lively and easily accessible manner.

Unconventional Computation

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Publisher : Springer
ISBN 13 : 3642135234
Total Pages : 207 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Unconventional Computation by : Christian S. Calude

Download or read book Unconventional Computation written by Christian S. Calude and published by Springer. This book was released on 2010-06-26 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 9th International Conference on Unconventional Computation, UC 2010, was organized under the auspices of EATCS and Academia Europaea, by the University of Tokyo (Tokyo, Japan), and the Center for Discrete Mathematics and Theoretical Computer Science (Auckland, New Zealand). It was held in Tokyoduring June 21–25,2010(seehttp://arn.local.frs.riken.jp/UC10/). The venue was the Sanjo (Hilltop) Conference Hall at Hongo Campus of the University of Tokyo. Hongo Campus was formerly the residence of the Maeda family, one of the richest feudal lords in the Edo period of Japan. The Japanese garden in the residence is partially preserved, including the pond and the hill on which the conference hall is located. Within walking distance from Hongo Campus are Ueno park with many museums, the Akihabara area, which is now the center of Japanesepop culture, and the Korakuenamusement park/baseball stadium. The International Conference on Unconventional Computation (UC) series (seehttp://www.cs.auckland.ac.nz/CDMTCS/conferences/uc/)isdevotedto all aspects of unconventional computation — theory as well as experiments and applications. Typical, but not exclusive, topics are: natural computing including quantum, cellular, molecular, membrane, neural, and evolutionary computing, as well as chaos and dynamical system-based computing, and various proposals for computational mechanisms that go beyond the Turing model.

Behaviourism in Studying Swarms: Logical Models of Sensing and Motoring

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Publisher : Springer
ISBN 13 : 3319915428
Total Pages : 477 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Behaviourism in Studying Swarms: Logical Models of Sensing and Motoring by : Andrew Schumann

Download or read book Behaviourism in Studying Swarms: Logical Models of Sensing and Motoring written by Andrew Schumann and published by Springer. This book was released on 2018-05-25 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents fundamental theoretical results for designing object-oriented programming languages for controlling swarms. It studies the logics of swarm behaviours. According to behaviourism, all behaviours can be controlled or even managed by stimuli in the environment: attractants (motivational reinforcement) and repellents (motivational punishment). At the same time, there are two main stages in reactions to stimuli: sensing (perceiving signals) and motoring (appropriate direct reactions to signals). This book examines the strict limits of behaviourism from the point of view of symbolic logic and algebraic mathematics: how far can animal behaviours be controlled by the topology of stimuli? On the one hand, we can try to design reversible logic gates in which the number of inputs is the same as the number of outputs. In this case, the behaviouristic stimuli are inputs in swarm computing and appropriate reactions at the motoring stage are its outputs. On the other hand, the problem is that even at the sensing stage each unicellular organism can be regarded as a logic gate in which the number of outputs (means of perceiving signals) greatly exceeds the number of inputs (signals).

Advances in Applied Self-organizing Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1846289823
Total Pages : 375 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Advances in Applied Self-organizing Systems by : Mikhail Prokopenko

Download or read book Advances in Applied Self-organizing Systems written by Mikhail Prokopenko and published by Springer Science & Business Media. This book was released on 2007-11-24 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in successfully engineered self-organizing systems. It goes further, too, to examine ways to balance design and self-organization in the context of applications. As demonstrated throughout, finding this balance helps to deal with diverse practical challenges. The case studies described illustrate the richness of the topic and provide guidance on its more intricate areas.

Discrete Systems with Memory

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Publisher : World Scientific
ISBN 13 : 9814343633
Total Pages : 478 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Discrete Systems with Memory by : Ramon Alonso-Sanz

Download or read book Discrete Systems with Memory written by Ramon Alonso-Sanz and published by World Scientific. This book was released on 2011 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Memory 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 complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian: only the actual configuration is taken into account to generate the next one. Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced. The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects.

Reaction-Diffusion Computers

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Author :
Publisher : Elsevier
ISBN 13 : 0080461271
Total Pages : 349 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Reaction-Diffusion Computers by : Andrew Adamatzky

Download or read book Reaction-Diffusion Computers written by Andrew Adamatzky and published by Elsevier. This book was released on 2005-10-05 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces a hot topic of novel and emerging computing paradigms and architectures -computation by travelling waves in reaction-diffusion media. A reaction-diffusion computer is a massively parallel computing device, where the micro-volumes of the chemical medium act as elementary few-bit processors, and chemical species diffuse and react in parallel. In the reaction-diffusion computer both the data and the results of the computation are encoded as concentration profiles of the reagents, or local disturbances of concentrations, whilst the computation per se is performed via the spreading and interaction of waves caused by the local disturbances. The monograph brings together results of a decade-long study into designing experimental and simulated prototypes of reaction-diffusion computing devices for image processing, path planning, robot navigation, computational geometry, logics and artificial intelligence. The book is unique because it gives a comprehensive presentation of the theoretical and experimental foundations, and cutting-edge computation techniques, chemical laboratory experimental setups and hardware implementation technology employed in the development of novel nature-inspired computing devices. Key Features: - Non-classical and fresh approach to theory of computation. - In depth exploration of novel and emerging paradigms of nature-inspired computing. - Simple to understand cellular-automata models will help readers/students to design their own computational experiments to advance ideas and concepts described in the book . - Detailed description of receipts and experimental setups of chemical laboratory reaction-diffusion processors will make the book an invaluable resource in practical studies of non-classical and nature-inspired computing architectures . - Step by step explanations of VLSI reaction-diffusion circuits will help students to design their own types of wave-based processors.Key Features: - Non-classical and fresh approach to theory of computation. - In depth exploration of novel and emerging paradigms of nature-inspired computing. - Simple to understand cellular-automata models will help readers/students to design their own computational experiments to advance ideas and concepts described in the book . - Detailed description of receipts and experimental setups of chemical laboratory reaction-diffusion processors will make the book an invaluable resource in practical studies of non-classical and nature-inspired computing architectures . - Step by step explanations of VLSI reaction-diffusion circuits will help students to design their own types of wave-based processors.

Collision-Based Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 1447101294
Total Pages : 566 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Collision-Based Computing by : Andrew Adamatzky

Download or read book Collision-Based Computing written by Andrew Adamatzky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems. It covers such diverse subjects as conservative computation in billiard ball models and its cellular-automaton analogues, implementation of computing devices in lattice gases, Conway's Game of Life and discrete excitable media, theory of particle machines, computation with solitons, logic of ballistic computing, phenomenology of computation, and self-replicating universal computers. Collision-Based Computing will be of interest to researchers working on relevant topics in Computing Science, Mathematical Physics and Engineering. It will also be useful background reading for postgraduate courses such as Optical Computing, Nature-Inspired Computing, Artificial Intelligence, Smart Engineering Systems, Complex and Adaptive Systems, Parallel Computation, Applied Mathematics and Computational Physics.

Reversibility and Universality

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Author :
Publisher : Springer
ISBN 13 : 3319732161
Total Pages : 484 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Reversibility and Universality by : Andrew Adamatzky

Download or read book Reversibility and Universality written by Andrew Adamatzky and published by Springer. This book was released on 2018-02-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Kenichi Morita’s ideas and achievements in theoretical computer science, reversibility and computationally universal mathematical machines. It offers a unique source of information on universality and reversibility in computation and is an indispensable book for computer scientists, mathematicians, physicists and engineers. Morita is renowned for his works on two-dimensional language accepting automata, complexity of Turing machines, universality of cellular automata, regular and context-free array grammars, and undecidability. His high-impact works include findings on parallel generation and parsing of array languages by means of reversible automata, construction of a reversible automaton from Fredkin gates, solving a firing squad synchronization problem in reversible cellular automata, self-reproduction in reversible cellular spaces, universal reversible two-counter machines, solution of nondeterministic polynomial (NP) problems in hyperbolic cellular automata, reversible P-systems, a new universal reversible logic element with memory, and reversibility in asynchronous cellular automata. Kenichi Morita’s achievements in reversibility, universality and theory of computation are celebrated in over twenty high-profile contributions from his colleagues, collaborators, students and friends. The theoretical constructs presented in this book are amazing in their diversity and depth of intellectual insight, addressing: queue automata, hyperbolic cellular automata, Abelian invertible automata, number-conserving cellular automata, Brownian circuits, chemical automata, logical gates implemented via glider collisions, computation in swarm networks, picture arrays, universal reversible counter machines, input-position-restricted models of language acceptors, descriptional complexity and persistence of cellular automata, partitioned cellular automata, firing squad synchronization algorithms, reversible asynchronous automata, reversible simulations of ranking trees, Shor’s factorization algorithms, and power consumption of cellular automata.

Game of Life Cellular Automata

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1849962170
Total Pages : 576 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Game of Life Cellular Automata by : Andrew Adamatzky

Download or read book Game of Life Cellular Automata written by Andrew Adamatzky and published by Springer Science & Business Media. This book was released on 2010-06-14 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Collision-Based Computing

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9781852335403
Total Pages : 588 pages
Book Rating : 4.3/5 (354 download)

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Book Synopsis Collision-Based Computing by : Andrew Adamatzky

Download or read book Collision-Based Computing written by Andrew Adamatzky and published by Springer Science & Business Media. This book was released on 2002-05-13 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems. It covers such diverse subjects as conservative computation in billiard ball models and its cellular-automaton analogues, implementation of computing devices in lattice gases, Conway's Game of Life and discrete excitable media, theory of particle machines, computation with solitons, logic of ballistic computing, phenomenology of computation, and self-replicating universal computers. Collision-Based Computing will be of interest to researchers working on relevant topics in Computing Science, Mathematical Physics and Engineering. It will also be useful background reading for postgraduate courses such as Optical Computing, Nature-Inspired Computing, Artificial Intelligence, Smart Engineering Systems, Complex and Adaptive Systems, Parallel Computation, Applied Mathematics and Computational Physics.