Synchronization of fractals in logarithmic spirals

Robert A.M. Gregson*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

    Abstract

    Synchronization is not treated here is a fundamental necessary property, but is transient and derivative on sequences that are generated by nonlinearity in time series which arise in neural brain processes, and in bottom-up top-down network dynamics. We illustrate in figures some properties using Markov matrices, open symbolic dynamic nets, and fields on Julia sets. The work by Vrobel (2011), in Chapter 6, about Temporal Binding: Synchronizing Perceptions, is cited. We find both symmetrical and spiral patterns on local regions of Julia sets, and discontinuous series in the dynamics of some region that are recordable in the neurophysiology of intermittent consciousness. Synchronization can also be called self-similarity, in induced noncommutative geometry.

    Original languageEnglish
    Title of host publicationChaos and Complexity in the Arts and Architecture
    Subtitle of host publicationResearch in Progress
    PublisherNova Science Publishers, Inc.
    Pages185-198
    Number of pages14
    ISBN (Electronic)9781536129960
    ISBN (Print)9781536129953
    Publication statusPublished - 1 Jan 2017

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