Consideration of a primitive chaos

Yoshihito Ogasawara, Shinichi Oishi

    研究成果: Article

    3 引用 (Scopus)

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    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.

    元の言語English
    記事番号103001
    ジャーナルJournal of the Physical Society of Japan
    81
    発行部数10
    DOI
    出版物ステータスPublished - 2012 10

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    chaos
    orbits
    continuums

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    これを引用

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

    :: Journal of the Physical Society of Japan, 巻 81, 番号 10, 103001, 10.2012.

    研究成果: Article

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