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The SOC in cells’ living expectations of Conway’s Game of Life and its extended version

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  • Wei, Jinling
  • Zhou, Haiyan
  • Meng, Jun
  • Zhang, Fan
  • Chen, Yunmo
  • Zhou, Su

Abstract

In self-organized systems such as Conway’s Game of Life (CGL). Wikipedia, Conway’s game of the life, https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life., though whether the single cell will survive or die seems unpredictable, the log–log distribution of all cells living frequency satisfies the 1/f linear law, thus meets the Self-organized Criticality(SOC) rule, which not only proves that CGL is a self-organized system, but more significantly, that the chance of living for each cell is spatial heterogeneous, and is statistical fractal.

Suggested Citation

  • Wei, Jinling & Zhou, Haiyan & Meng, Jun & Zhang, Fan & Chen, Yunmo & Zhou, Su, 2016. "The SOC in cells’ living expectations of Conway’s Game of Life and its extended version," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 348-352.
    • Handle: RePEc:eee:chsofr:v:89:y:2016:i:c:p:348-352
    DOI: 10.1016/j.chaos.2015.12.020
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    References listed on IDEAS

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    1. Manfred G Kitzbichler & Marie L Smith & Søren R Christensen & Ed Bullmore, 2009. "Broadband Criticality of Human Brain Network Synchronization," PLOS Computational Biology, Public Library of Science, vol. 5(3), pages 1-13, March.
    2. Chen, Yanguang & Zhou, Yixing, 2008. "Scaling laws and indications of self-organized criticality in urban systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 85-98.
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    Cited by:

    1. Contreras-Reyes, Javier E., 2021. "Lerch distribution based on maximum nonsymmetric entropy principle: Application to Conway’s game of life cellular automaton," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Cerruti, Umberto & Dutto, Simone & Murru, Nadir, 2020. "A symbiosis between cellular automata and genetic algorithms," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

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