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On Spiral Glider-Guns In Hexagonal Cellular Automata: Activator-Inhibitor Paradigm

Author

Listed:
  • ANDREW WUENSCHE

    (Discrete Dynamics Lab, Flat 6, 3 Grape Street, London WC2 H8DX, UK)

  • ANDREW ADAMATZKY

    (Faculty of Computing, Engineering and Mathematical Sciences, University of the West of England, Bristol BS16 1QY, UK)

Abstract

We present a cellular-automaton model of a reaction-diffusion excitable system with concentration dependent inhibition of the activator, and study the dynamics of mobile localizations (gliders) and their generators. We analyze a three-state totalistic cellular automaton on a two-dimensional lattice with hexagonal tiling, where each cell connects with 6 others. We show that a set of specific rules support spiral glider-guns (rotating activator-inhibitor spirals emitting mobile localizations) and stationary localizations which destroy or modify gliders, along with a rich diversity of emergent structures with computational properties. We describe how structures are created and annihilated by glider collisions, and begin to explore the necessary processes that generate this kind of complex dynamics.

Suggested Citation

  • Andrew Wuensche & Andrew Adamatzky, 2006. "On Spiral Glider-Guns In Hexagonal Cellular Automata: Activator-Inhibitor Paradigm," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(07), pages 1009-1026.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:07:n:s012918310600945x
    DOI: 10.1142/S012918310600945X
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    Cited by:

    1. Adamatzky, Andrew, 2009. "Localizations in cellular automata with mutualistic excitation rules," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 981-1003.

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