Consideration of a primitive chaos

Yoshihito Ogasawara, Shinichi Oishi

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    Since the chaos was discovered, it has been recognized that we are surrounded by diverse chaotic behaviors. The purpose of this study is to reconsider the implication of this fact through the notion of a primitive chaos. Under natural conditions, each primitive chaos leads to apparent chaotic features, such as the existence of a nonperiodic orbit, the existence of the periodic point whose prime period is n for any n ε N, the existence of a dense orbit, the density of periodic points, sensitive dependence on initial conditions, and topological transitivity, while infinite varieties of the primitive chaos are guaranteed by a nondegenerate Peano continuum.

    Original languageEnglish
    Article number103001
    JournalJournal of the Physical Society of Japan
    Volume81
    Issue number10
    DOIs
    Publication statusPublished - 2012 Oct

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    chaos
    orbits
    continuums

    Keywords

    • Causality
    • Continuum
    • Dendrite
    • Determinism
    • Free will
    • Graph
    • Nonperiodic orbit
    • Periodic point
    • Sensitive dependence on initial conditions
    • Topological transitivity

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Consideration of a primitive chaos. / Ogasawara, Yoshihito; Oishi, Shinichi.

    In: Journal of the Physical Society of Japan, Vol. 81, No. 10, 103001, 10.2012.

    Research output: Contribution to journalArticle

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