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  • © 2013

Reaction-Diffusion Automata: Phenomenology, Localisations, Computation

Authors:

  • Advances hot and widely popular topics of cellular automata, unconventional computing, gliders and solitons and non-linear dynamics
  • Explains complex concepts and models in very simple basic terms, which does not require substantial specialist training
  • Lavishly illustrated with visually attractive examples of cellular automaton configurations, which will appeal not only to scientists but also to artists and general public

Part of the book series: Emergence, Complexity and Computation (ECC, volume 1)

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Table of contents (15 chapters)

  1. Front Matter

    Pages 1-9
  2. Introduction

    • Andrew Adamatzky
    Pages 1-18
  3. Phenomenology and Localisations

    1. Front Matter

      Pages 19-19
    2. Reaction-Diffusion Binary-State Automata

      • Andrew Adamatzky
      Pages 21-35
    3. Retained Excitation

      • Andrew Adamatzky
      Pages 37-66
    4. Mutualistic Excitation

      • Andrew Adamatzky
      Pages 67-95
    5. Excitable Delaunay Triangulations

      • Andrew Adamatzky
      Pages 115-133
    6. Excitable β-Skeletons

      • Andrew Adamatzky
      Pages 135-153
  4. Population Dynamics

    1. Front Matter

      Pages 163-163
    2. Population Dynamics in Automata

      • Andrew Adamatzky
      Pages 165-182
    3. Automaton Mechanics of Mutualism

      • Andrew Adamatzky
      Pages 183-195
  5. Computation with Excitation

    1. Front Matter

      Pages 197-197
    2. Voronoi Automata

      • Andrew Adamatzky
      Pages 199-208
    3. Adders and Multipliers in Sub-excitable Automata

      • Andrew Adamatzky
      Pages 209-228
    4. Semi-memristive Automata: Retained Refractoriness

      • Andrew Adamatzky
      Pages 263-285
  6. Back Matter

    Pages 0--1

About this book

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.

 

Reviews

From the reviews:

“This book will attract a wide variety of readers interested in unconventional computing. To a great extent, the continuous keen interest in cellular automata is sustained by speculation that it could effectively reveal the fundamental mechanism of nature.” (Simon Berkovich, Computing Reviews, May, 2013)

Authors and Affiliations

  • Unconventional Computing Centre, and Department of Computer Science, University of the West of England, Bristol, United Kingdom

    Andrew Adamatzky

Bibliographic Information

  • Book Title: Reaction-Diffusion Automata: Phenomenology, Localisations, Computation

  • Authors: Andrew Adamatzky

  • Series Title: Emergence, Complexity and Computation

  • DOI: https://doi.org/10.1007/978-3-642-31078-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2013

  • Hardcover ISBN: 978-3-642-31077-5Published: 11 September 2012

  • Softcover ISBN: 978-3-642-43572-0Published: 15 October 2014

  • eBook ISBN: 978-3-642-31078-2Published: 14 September 2012

  • Series ISSN: 2194-7287

  • Series E-ISSN: 2194-7295

  • Edition Number: 1

  • Number of Pages: XIV, 330

  • Topics: Complexity, Computational Intelligence, Artificial Intelligence

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access