The Inverse Problem of Flobenius-Perron Equations in 1D Difference Systems : 1D Map Idealization : General and Mathematical Physics
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概要
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We derive the 1D difference systems for an arbitrary invariant density by solving the Flobenius-Perron equation inversely. We find the variety of the analytical forms of the 1D systems in the cases of the elemental functions representing the invariant densities. We also confirm that the existence and uniqueness of the invariant densities for the derived 1D maps are assured. On the basis of the generality of the formula, we infer the possibility of the 1D map idealization as one of the methods for analyzing the noisy data.
- 理論物理学刊行会の論文
- 1991-11-25
著者
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KOGA Shinji
Diagnostics Research and Development Department, Asahi-Kasei Corporation
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Koga Shinji
Osaka Kyoiku University
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