Glider-based computing in reaction-diffusion hexagonal cellular automata

Andrew Adamatzky, Andrew Wuensche and Benjamin De Lacy Costello

Chaos, Solitons & Fractals, 2006, vol. 27, issue 2, 287-295

Abstract: A three-state hexagonal cellular automaton, discovered in [Wuensche A. Glider dynamics in 3-value hexagonal cellular automata: the beehive rule. Int J Unconvention Comput, in press], presents a conceptual discrete model of a reaction-diffusion system with inhibitor and activator reagents. The automaton model of reaction-diffusion exhibits mobile localized patterns (gliders) in its space–time dynamics. We show how to implement the basic computational operations with these mobile localizations, and thus demonstrate collision-based logical universality of the hexagonal reaction-diffusion cellular automaton.

Date: 2006
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:2:p:287-295

DOI: 10.1016/j.chaos.2005.03.048

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