Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 22, Issue 11, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127412300364
Keywords
Cellular automaton; excitable medium; space-time dynamics
Funding
- EPSRC [EP/H014381/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/H014381/1] Funding Source: researchfish
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We study two-dimensional cellular automata, each cell takes three states: resting, excited and refractory. A resting cell excites if the number of excited neighbors lies in a certain interval (excitation interval). An excited cell becomes refractory independently on states of its neighbors. A refractory cell returns to a resting state only if the number of excited neighbors belong to recovery interval. The model is an excitable cellular automaton abstraction of a spatially extended semi-memristive medium where a cell's resting state symbolizes low-resistance and refractory state high-resistance. The medium is semi-memristive because only transition from high-to low-resistance is controlled by the density of local excitation. We present a phenomenological classification of the automata behavior for all possible excitation intervals and recovery intervals. We describe eleven classes of cellular automata with retained refractoriness based on the criteria of space-filling ratio, morphological and generative diversity, and types of traveling localizations.
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