Phase Description Method to Time Averages in the Lorenz System : General and Mathematical Physics
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概要
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On the basis of the transformation to the rotating coordinates associated with the imbedded unstable limit cycles in the Lorenz system, we present a new representation for the long time averages, which may be applicable to any three-dimensional dissipative dynamical systems producing chaos. By employing the dynamics of the phases of the imbedded limit cycles, we show that the time average is expressible in terms of two types of the weight factors; the residence time probability density and the factor inversely proportional to the speed of the phase.
- 理論物理学刊行会の論文
- 1986-08-25
著者
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KOGA Shinji
Diagnostics Research and Development Department, Asahi-Kasei Corporation
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KOGA Shinji
Department of Diagnostics Research & Development, Asahi Chemical Industry Co., Ltd.
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