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Physics - Complexity | Reaction-Diffusion Automata: Phenomenology, Localisations, Computation

Reaction-Diffusion Automata: Phenomenology, Localisations, Computation

Adamatzky, Andrew

2013, XIV, 330 p.

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  • 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

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.

 

Content Level » Research

Keywords » Automata Networks - Cellular Automata - Discrete Networks - Gliders - Localizations - Non-linear Media - Reaction-diffusion Systems - Waves

Related subjects » Artificial Intelligence - Complexity - Computational Intelligence and Complexity

Table of contents 

Part I Phenomenology and localisations.-

Part II Population dynamics.-

Part III Computation with excitation.

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