Universal emergence of 1/f noise in asynchronously tuned elementary cellular automata

Daisuke Uragami, Yukio Pegio Gunji

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper, we propose asynchronously tuned elementary cellular automata (AT_ECA) as models that implement a new type of self-organized criticality (SOC). SOC in AT_ECA is based on asynchronously updating and locally tuning the consistency between dual modes of transition. A previous work showed that AT_ECA generate class 4-like spacetime patterns over a wide area of the rule space, and the density decay follows a power law for some of the rules. In this study, we performed a spectral analysis of AT_ECA, of which a great number of rules were found to exhibit 1 / f noise, suggesting that AT_ECA realize critical states without selecting specific rules or fine-tuning parameters.

Original languageEnglish
Pages (from-to)399-414
Number of pages16
JournalComplex Systems
Issue number4
Publication statusPublished - 2018


  • 1 / f noise
  • Asynchronous
  • Cellular automata
  • Self-organizing criticality

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science


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