Consideration of a primitive chaos

Yoshihito Ogasawara, Shin'ichi 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 1

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)

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