Simple networks on complex cellular automata: From de Bruijn diagrams to jump-graphs

Genaro J. Martínez; Andrew Adamatzky; Bo Chen; Fangyue Chen; Juan C. S. T. Mora

doi:10.1007/978-3-662-55663-4_12

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arXiv · 1802.01763

Simple networks on complex cellular automata: From de Bruijn diagrams to jump-graphs

Genaro J. Martínez·Andrew Adamatzky·Bo Chen·Fangyue Chen·Juan C. S. T. Mora

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Abstract

We overview networks which characterise dynamics in cellular automata. These networks are derived from one-dimensional cellular automaton rules and global states of the automaton evolution: de Bruijn diagrams, subsystem diagrams, basins of attraction, and jump-graphs. These networks are used to understand properties of spatially-extended dynamical systems: emergence of non-trivial patterns, self-organisation, reversibility and chaos. Particular attention is paid to networks determined by travelling self-localisations, or gliders.

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Genaro J. Martínez, Andrew Adamatzky, Bo Chen, Fangyue Chen, Juan C. S. T. Mora. 2018-02-06. Simple networks on complex cellular automata: From de Bruijn diagrams to jump-graphs. https://doi.org/10.1007/978-3-662-55663-4_12

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