Consideration of a primitive chaos

Yoshihito Ogasawara, Shin'ichi Oishi

研究成果: Article

3 引用 (Scopus)


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.

ジャーナルjournal of the physical society of japan
出版物ステータスPublished - 2012 10 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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