Time-Correlation Functions of One-Dimensional Transformations
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概要
- 論文の詳細を見る
Broken line transformations consist of three elementary processes; the staircase processes, the rotation around a fixed point and the hopping between different branches. Their relative weights determine the main feature of the time-correlation function <x_n∣x_0> of mapping, x_n=f(x_<n-1>),(n=1,2,…). It is shown that <x_n∣x_0>=<x∣ℋ^^^^nx>,where ℋ^^^ is a linear operator closely related to the Frobenius-Perron operator. Eigenvalues and eigenfunctions of ℋ^^^ determine the time-correlation function. By means of this method the time-correlation functions of typical broken line transformations are calculated exactly and their features are clarified in terms of the three elementary processes and unstable periodic orbits.
- 理論物理学刊行会の論文
- 1981-10-25
著者
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Mori Hazime
Department Of Physics Kyusyu University
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Mori Hazime
Department Of Applied Physics Faculty Of Engineering Kyushu University
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Ose Tomoaki
Department Of Physics Kyushu University
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Ose Tomoaki
Department Of Physics Kyusyu University
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So Byon-chyol
Department Of Physics Kyusyu University
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OSE Tomoaki
Department of Physics, Kyusyu University
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SO Byon-Chyol
Department of Physics, Kyusyu University
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