Map-Based Analysis of Noise-Induced Convergence in Chaos

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概要

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• The mechanism and condition of appearance of order in chaos with Gaussian white noise isinvestigated based on the Poincare return map constructed from the three-variables ODE of theBelousov-Zhabotinsky reaction. When the noise is added to the chaos having the bifurcationparameter near period-three oscillation, it occasionally happens that topological entropy is constant but the Kolmogorov entropy decreases. Analysis on three-tirnes iterated map reveals thatthis phenomenon, named "noise-induced convergence", is caused by an increase of the length oflaminar phase and the subseqtrent change of the invariant density. The same phenonaenon is ob-served in m-times iterated map of the chaos of the logistic naap. We consider that "noise-inducedconvergence" is characteristic of intermittent chaos.

• 社団法人日本物理学会の論文
• 1996-10-15

著者

• Yamaguchi Tomohiko

  Department Of Chemical Systems National Institute Of Materials And Chemical Research (nimc)

• YOSHIMOTO Minoru

  Department of Chemical Systems,National Institute of Materials and Chemical Research

• NAGASHIMA Hiroyuki

  Department of Physics,Faculty of Science,Shizuoka University

• Tsuyoshi Yamaguchi

  Faculty Of Engineering Shizuoka University

• Yoshimoto M

  Kagoshima Univ. Kagoshima

• Yoshimoto Minoru

  Department Of Bioengineering Faculty Of Engineering Kagoshima University

• Nagashima H

  Shizuoka University

• Yamaguchi Toshihisa

  Department Of Applied Physics Chubu Institute Of Technology

• Nagashima Hiroyuki

  Department Of Liberal Arts Shizuoka University

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