Phase Description Method to Invariant Densities in 1-D Difference Systems : General and Mathematical Physics
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概要
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We discuss the invariant densities in 1-D difference systems by means of the phase description method which exploits the particular types of the imbedded unstable limit cycles. We first construct a modified map appropriate for the phase description method from the original map. The transformation formula between the invariant densities of the modified map and of the original map allows us to discuss the rigorous and approximate forms of the invariant density, together with their coarse grained versions. We employ the piecewise linear maps and the logistic map as the concrete examples.
- 理論物理学刊行会の論文
- 1988-08-25
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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Koga Shinji
Department Of Physics Osaka Kyoiku University
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