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Designing complex dynamics in cellular automata with memory

Mart�nez, Genaro J.; Martinez, Genaro J.; Adamatzky, Andrew; Alonso-Sanz, Ramon

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Authors

Genaro J. Mart�nez

Genaro J. Martinez

Ramon Alonso-Sanz



Abstract

Since their inception at Macy conferences in later 1940s, complex systems have remained the most controversial topic of interdisciplinary sciences. The term "complex system" is the most vague and liberally used scientific term. Using elementary cellular automata (ECA), and exploiting the CA classification, we demonstrate elusiveness of "complexity" by shifting space-time dynamics of the automata from simple to complex by enriching cells with memory. This way, we can transform any ECA class to another ECA class - without changing skeleton of cell-state transition function - and vice versa by just selecting a right kind of memory. A systematic analysis displays that memory helps "discover" hidden information and behavior on trivial - uniform, periodic, and nontrivial - chaotic, complex - dynamical systems. © World Scientific Publishing Company.

Citation

Martínez, G. J., Martinez, G. J., Adamatzky, A., & Alonso-Sanz, R. (2013). Designing complex dynamics in cellular automata with memory. International Journal of Bifurcation and Chaos, 23(10), 1330035. https://doi.org/10.1142/S0218127413300358

Journal Article Type Article
Publication Date Jan 1, 2013
Deposit Date Nov 5, 2013
Publicly Available Date Feb 9, 2016
Journal International Journal of Bifurcation and Chaos
Print ISSN 0218-1274
Publisher World Scientific Publishing
Peer Reviewed Peer Reviewed
Volume 23
Issue 10
Pages 1330035
DOI https://doi.org/10.1142/S0218127413300358
Keywords elementary cellular automata, classification, memory, computability, gliders, collisions, complex systems
Public URL https://uwe-repository.worktribe.com/output/939419
Publisher URL http://dx.doi.org/10.1142/S0218127413300358
Additional Information Additional Information : Electronic version of an article published as International Journal of Bifurcation and Chaos, 23 (10), 2013, p.1330035. DOI: 10.1142/S0218127413300358 © World Scientific Publishing Company. http://dx.doi.org/10.1142/S0218127413300358

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