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Complex dynamics emerging in Rule 30 with majority memory

Martinez, Genaro J.; Adamatzky, Andrew; Alonso-Sanz, Ramon; Mora, Juan C.S.T

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Authors

Genaro J. Martinez

Ramon Alonso-Sanz

Juan C.S.T Mora



Abstract

In cellular automata with memory, the unchanged maps of the conventional cellular automata are applied to cells endowed with memory of their past states in some specified interval. We implement Rule 30 automata with a majority memory and show that using the memory function we can transform quasi-chaotic dynamics of classical Rule 30 into domains of travelling structures with predictable behaviour. We analyse morphological complexity of the automata and classify dynamics of gliders (particle, self-localizations) in memory-enriched Rule 30. We provide formal ways of encoding and classifying glider dynamics using de Bruijn diagrams, soliton reactions and quasi-chemical representations.

Citation

Martinez, G. J., Adamatzky, A., Alonso-Sanz, R., & Mora, J. C. (2010). Complex dynamics emerging in Rule 30 with majority memory. Complex Systems -Champaign-, 18(3), 345-365

Journal Article Type Article
Publication Date Jan 1, 2010
Deposit Date Jul 16, 2010
Publicly Available Date Feb 10, 2016
Journal Complex Systems
Print ISSN 0891-2513
Peer Reviewed Peer Reviewed
Volume 18
Issue 3
Pages 345-365
Keywords complex dynamics, Rule 30
Public URL https://uwe-repository.worktribe.com/output/986725
Publisher URL http://www.complex-systems.com/Archive/hierarchy/abstract.cgi?vol=18&iss=3&art=05

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