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Localizations in cellular automata with mutualistic excitation rules

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  • Adamatzky, Andrew

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.

Suggested Citation

  • Adamatzky, Andrew, 2009. "Localizations in cellular automata with mutualistic excitation rules," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 981-1003.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:981-1003
    DOI: 10.1016/j.chaos.2007.08.085
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    References listed on IDEAS

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    1. 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.
    2. Maccari, Attilio, 2006. "Chaos, solitons and fractals in hidden symmetry models," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 363-376.
    3. Adamatzky, Andrew & Costello, Benjamin de Lacy, 2007. "Binary collisions between wave-fragments in a sub-excitable Belousov–Zhabotinsky medium," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 307-315.
    4. Adamatzky, Andrew & Wuensche, Andrew & De Lacy Costello, Benjamin, 2006. "Glider-based computing in reaction-diffusion hexagonal cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 287-295.
    5. 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.
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