ON SPIRAL GLIDER-GUNS IN HEXAGONAL CELLULAR AUTOMATA: ACTIVATOR-INHIBITOR PARADIGM

Andrew Wuensche () and Andrew Adamatzky ()
Additional contact information
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

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 07, 1009-1026

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.

Keywords: Cellular automata; reaction-diffusion; glider; glider-gun; localization; emergence; complexity; mutation; self-organization; dynamics (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S012918310600945X
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:17:y:2006:i:07:n:s012918310600945x

Ordering information: This journal article can be ordered from

DOI: 10.1142/S012918310600945X

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().