Genaro J. Mart�nez
How to make dull cellular automata complex by adding memory: Rule 126 case study
Mart�nez, Genaro J.; Seck-Tuoh-Mora, Juan C.; Mora, Juan C.S.T; Adamatzky, Andrew; Alonso-Sanz, Ramon
Authors
Juan C. Seck-Tuoh-Mora
Juan C.S.T Mora
Andrew Adamatzky Andrew.Adamatzky@uwe.ac.uk
Professor
Ramon Alonso-Sanz
Abstract
Using Rule 126 elementary cellular automaton (ECA), we demonstrate that a chaotic discrete system - when enriched with memory - hence exhibits complex dynamics where such space exploits on an ample universe of periodic patterns induced from original information of the ahistorical system. First, we analyze classic ECA Rule 126 to identify basic characteristics with mean field theory, basins, and de Bruijn diagrams. To derive this complex dynamics, we use a kind of memory on Rule 126; from here interactions between gliders are studied for detecting stationary patterns,glider guns,and simulating specific simple computable functions produced by glider collisions. © 2010 Wiley Periodicals, Inc.
Citation
Seck-Tuoh-Mora, J. C., Martínez, G. J., Adamatzky, A., Mora, J. C., & Alonso-Sanz, R. (2010). How to make dull cellular automata complex by adding memory: Rule 126 case study. Complexity, 15(6), 34-49. https://doi.org/10.1002/cplx.20311
Journal Article Type | Article |
---|---|
Publication Date | Jan 1, 2010 |
Publicly Available Date | Jun 8, 2019 |
Journal | Complexity |
Print ISSN | 1076-2787 |
Electronic ISSN | 1099-0526 |
Publisher | Hindawi |
Peer Reviewed | Peer Reviewed |
Volume | 15 |
Issue | 6 |
Pages | 34-49 |
DOI | https://doi.org/10.1002/cplx.20311 |
Keywords | elementary cellular automata, memory, Rule 126, gliders, glider guns, filters, chaos, complex dynamics |
Public URL | https://uwe-repository.worktribe.com/output/977661 |
Publisher URL | http://dx.doi.org/10.1002/cplx.20311 |
Additional Information | Additional Information : This is the pre-peer reviewed version of the following article: "Martinez, Genaro J. and Adamatzky, Andrew and Mora, Juan C.S.T and Alonso-Sanz, Ramon (2010) How to make dull cellular automata complex by adding memory: Rule 126 case study. Complexity, 15 (6). pp. 34-49" which has been published in final form at http://dx.doi.org/10.1002/cplx.20311 |
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