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Evolving localizations in reaction-diffusion cellular automata

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

Authors

Lawrence Bull Larry.Bull@uwe.ac.uk
School Director (Research & Enterprise) and Professor

Pierre Collet

Emmanuel Sapin



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.

Citation

Adamatzky, A., Bull, L., Collet, P., & Sapin, E. (2008). Evolving localizations in reaction-diffusion cellular automata. International Journal of Modern Physics C, 19(04), 557-567. https://doi.org/10.1142/S0129183108012376

Journal Article Type Article
Publication Date Apr 1, 2008
Journal International Journal of Modern Physics C
Print ISSN 0129-1831
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/