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Three-valued logic gates in reaction–diffusion excitable media

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  • Motoike, Ikuko N.
  • Adamatzky, Andrew

Abstract

It is well established now that excitable media are capable of implementing of a wide range of computational operations, from image processing to logical computation to navigation of robots. The findings published so far in the field of logical computation were concerned solely with realization of boolean logic. This imposed somewhat artificial limitations on a suitability of excitable media for logical reasoning and restricted a range of possible applications of these non-classical computational devices in the field of artificial intelligence. In the paper we go beyond binary logic and show how to implement three-valued logical operations in toy models of geometrically constrained excitable media. We realize several types of logical gates, including Łukasiewicz conjunction and disjunction, and Sobociński conjunction in cellular automata and FitzHugh–Nagumo models of T-shaped excitable media.

Suggested Citation

  • Motoike, Ikuko N. & Adamatzky, Andrew, 2005. "Three-valued logic gates in reaction–diffusion excitable media," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 107-114.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:107-114
    DOI: 10.1016/j.chaos.2004.07.021
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    Cited by:

    1. De Lacy Costello, Benjamin & Adamatzky, Andrew, 2005. "Experimental implementation of collision-based gates in Belousov–Zhabotinsky medium," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 535-544.
    2. Toth, Rita & Stone, Christopher & Adamatzky, Andrew & de Lacy Costello, Ben & Bull, Larry, 2009. "Experimental validation of binary collisions between wave fragments in the photosensitive Belousov–Zhabotinsky reaction," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1605-1615.
    3. Soun, L. & Alfaro-Bittner, K. & Clerc, M.G. & Barbay, S., 2022. "Computing using pulse collisions in lattices of excitable microlasers," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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