Localizations in cellular automata with mutualistic excitation rules

Andrew Adamatzky

Chaos, Solitons & Fractals, 2009, vol. 40, issue 2, 981-1003

Abstract: Every cell of two-dimensional cellular automaton with eight-cell neighborhood takes three states: resting, excited and refractory, and updates excited to refractory and refractory to resting states unconditionally. A resting cell excites depending on number of excited and refractory neighbors. We made exhaustive study of spatio-temporal excitation dynamics for all rules of this type and selected several classes of rules. The classes supporting self-localizations are studied in details. We uncover basic types of mobile (gliders) and stationary localizations, and characterize their morphology and dynamics.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:2:p:981-1003

DOI: 10.1016/j.chaos.2007.08.085

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