Extended self organised criticality in asynchronously tuned cellular automata

    Research output: Chapter in Book/Report/Conference proceedingChapter

    2 Citations (Scopus)

    Abstract

    Systems at a critical point in phase transitions can be regarded as being relevant to biological complex behaviour. Such a perspective can only result, in a mathematical consistent manner, from a recursive structure. We implement a recursive structure based on updating by asynchronously tuned elementary cellular automata (AT ECA), and show that a large class of elementary cellular automata (ECA) can reveal critical behavior due to the asynchronous updating and tuning. We show that the obtained criticality coincides with the criticality in phase transitions of asynchronous ECA with respect to density decay, and that multiple distributed ECAs, synchronously updated, can emulate critical behavior in AT_ECA. Our approach draws on concepts and tools from category and set theory, in particular on "adjunction dualities" of pairs of adjoint functors.

    Original languageEnglish
    Title of host publicationChaos, Information Processing and Paradoxical Games: The Legacy of John S. Nicolis
    PublisherWorld Scientific Publishing Co.
    Pages411-430
    Number of pages20
    ISBN (Electronic)9789814602136
    ISBN (Print)9789814602129
    DOIs
    Publication statusPublished - 2014 Jan 1

    ASJC Scopus subject areas

    • Computer Science(all)
    • Mathematics(all)

    Fingerprint Dive into the research topics of 'Extended self organised criticality in asynchronously tuned cellular automata'. Together they form a unique fingerprint.

  • Cite this

    Gunji, Y. (2014). Extended self organised criticality in asynchronously tuned cellular automata. In Chaos, Information Processing and Paradoxical Games: The Legacy of John S. Nicolis (pp. 411-430). World Scientific Publishing Co.. https://doi.org/10.1142/9789814602136_0021