Consideration of a Primitive Chaos

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概要

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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\in\mathbb{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.

• 2012-10-15

著者

• Ogasawara Yoshihito

  Faculty Of Science And Engineering Waseda University

• Ogasawara Yoshihito

  Faculty of Science and Engineering, Waseda University, Shinjuku, Tokyo 169-8555, Japan

関連論文

• Sufficient Conditions for the Existence of a Primitive Chaotic Behavior
• The Effect of Curvature on the Instability of a Solid/Liquid Interface(General)
• Addendum to "A Consideration of the Morphological Stability of an Interface" : J. Phys. Soc. Jpn. 75 (2006) 064003
• A Consideration of the Morphological Stability of an Interface(General)
• Consideration of a Primitive Chaos
• Property Leading to Morphological Instability

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