Localizations in cellular automata with mutualistic excitation rules

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. © 2007 Elsevier Ltd. All rights reserved.

• Journal Article Type: Article
• Publication Date: Apr 30, 2009
• Journal: Chaos, Solitons and Fractals
• Print ISSN: 0960-0779
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 40
• Issue: 2
• Pages: 981-1003
• DOI: https://doi.org/10.1016/j.chaos.2007.08.085
• Keywords: cellular automata, mutualistic excitation rules
• Public URL: https://uwe-repository.worktribe.com/output/1000283
• Publisher URL: http://dx.doi.org/10.1016/j.chaos.2007.08.085