Evolving localizations in reaction-diffusion cellular automata

Adamatzky, Andrew; Bull, Larry; Collet, Pierre; Sapin, Emmanuel

Abstract

We consider hexagonal cellular automata with immediate cell neighbourhood and three cell-states. Every cell calculates its next state depending on the integral representation of states in its neighbourhood, i.e., how many neighbours are in each one state. We employ evolutionary algorithms to breed local transition functions that support mobile localizations (gliders), and characterize sets of the functions selected in terms of quasi-chemical systems. Analysis of the set of functions evolved allows to speculate that mobile localizations are likely to emerge in the quasi-chemical systems with limited diffusion of one reagent, a small number of molecules are required for amplification of travelling localizations, and reactions leading to stationary localizations involve relatively equal amount of quasi-chemical species. Techniques developed can be applied in cascading signals in nature-inspired spatially extended computing devices, and phenomenological studies and classification of non-linear discrete systems. © 2008 World Scientific Publishing Company.

• Journal Article Type: Article
• Publication Date: Apr 1, 2008
• Journal: International Journal of Modern Physics C
• Print ISSN: 0129-1831
• Electronic ISSN: 1793-6586
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 19
• Issue: 04
• Pages: 557-567
• DOI: https://doi.org/10.1142/S0129183108012376
• Keywords: evolutionary algorithms, physics, mathematical logic, computer science, artificial intelligence, AI, computer science, interdisciplinary applications, cellular automata, localizations, gliders
• Public URL: https://uwe-repository.worktribe.com/output/1013593
• Publisher URL: http://www.worldscinet.com/