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An Information-Based Classification of Elementary Cellular Automata

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  • Enrico Borriello
  • Sara Imari Walker

Abstract

We propose a novel, information-based classification of elementary cellular automata. The classification scheme proposed circumvents the problems associated with isolating whether complexity is in fact intrinsic to a dynamical rule, or if it arises merely as a product of a complex initial state. Transfer entropy variations processed by cellular automata split the 256 elementary rules into three information classes , based on sensitivity to initial conditions. These classes form a hierarchy such that coarse-graining transitions observed among elementary rules predominately occur within each information-based class or, much more rarely, down the hierarchy.

Suggested Citation

  • Enrico Borriello & Sara Imari Walker, 2017. "An Information-Based Classification of Elementary Cellular Automata," Complexity, Hindawi, vol. 2017, pages 1-8, September.
    • Handle: RePEc:hin:complx:1280351
    DOI: 10.1155/2017/1280351
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    References listed on IDEAS

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    1. Paul Nurse, 2008. "Life, logic and information," Nature, Nature, vol. 454(7203), pages 424-426, July.
    2. Baetens, J.M. & Van der Weeën, P. & De Baets, B., 2012. "Effect of asynchronous updating on the stability of cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 383-394.
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    Cited by:

    1. Zachary R. Adam & Albert C. Fahrenbach & Betul Kacar & Masashi Aono, 2018. "Prebiotic Geochemical Automata at the Intersection of Radiolytic Chemistry, Physical Complexity, and Systems Biology," Complexity, Hindawi, vol. 2018, pages 1-21, June.

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