CHAOS AND KM_2O-LANGEVIN EQUATIONS

• 岡部 靖憲

  東京大学大学院情報理工学系研究科数理情報学専攻

• 松浦 真也

  東京大学大学院情報理工学系研究科数理情報学専攻

抄録

We treat two one-dimensional chaotic dynamics derived from both the logistic and the tent transformations from the viewpoint of the theory of stochastic processes. We construct two one-dimensional stochastic processes associated with the above dynamics. Applying the stationarity analysis and the non-linear information analysis in the theory of KM_2O-Langevin equations to them, we investigate the problem of the coexistence of order and chaos from the viewpoint of the fluctuation-dissipation theorem which characterizes the stationarity property of stochastic processes.

収録刊行物

• Bulletin of informatics and cybernetics

  Bulletin of informatics and cybernetics 37 73-107, 2005-12

  統計科学研究会

キーワード

• Chaos
• Order and Chaos
• KM_2O-Langevin equation
• Fluctuation-Dissipation Theorem

詳細情報

• CRID: 1390853649779068544
• NII論文ID: 120001014489
• NII書誌ID: AA10634475
• DOI: 10.5109/12593
• ISSN: 2435743X
• ISSN: 0286522X
• HANDLE: 2324/12593
• 本文言語コード: en
• データソース種別:
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• 抄録ライセンスフラグ: 使用可