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Reaction-Diffusion Automata: Phenomenology, Localisations, ComputationDynamical Excitation Intervals: Diversity and Localisations

Reaction-Diffusion Automata: Phenomenology, Localisations, Computation: Dynamical Excitation... [Back in 1998 [7], we introduced an excitable cellular automaton,where a resting cell is excited if a number of its excited neighbours belong to a fixed interval [θ1,θ2]. The interval [θ1,θ2] is called an excitation interval. For two-dimensional cellular automaton with eight-cell neighbourhood 1 ≤ θ1 ≤ θ2 ≤ 8. We found that by tuning θ1 and θ2 we can persuade the automaton to imitate almost all kinds of excitation dynamics, from classical target and spiral waves observed in physical and chemical excitable media to wave-fragments inhabiting sub-excitable media [7].] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Reaction-Diffusion Automata: Phenomenology, Localisations, ComputationDynamical Excitation Intervals: Diversity and Localisations

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Publisher
Springer Berlin Heidelberg
Copyright
© Springer-Verlag Berlin Heidelberg 2013
ISBN
978-3-642-31077-5
Pages
97 –114
DOI
10.1007/978-3-642-31078-2_5
Publisher site
See Chapter on Publisher Site

Abstract

[Back in 1998 [7], we introduced an excitable cellular automaton,where a resting cell is excited if a number of its excited neighbours belong to a fixed interval [θ1,θ2]. The interval [θ1,θ2] is called an excitation interval. For two-dimensional cellular automaton with eight-cell neighbourhood 1 ≤ θ1 ≤ θ2 ≤ 8. We found that by tuning θ1 and θ2 we can persuade the automaton to imitate almost all kinds of excitation dynamics, from classical target and spiral waves observed in physical and chemical excitable media to wave-fragments inhabiting sub-excitable media [7].]

Published: Jan 1, 2013

Keywords: Morphological Diversity; Shannon Entropy; Excitable Medium; Spiral Wave; Interval Boundary

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