Generalization of Baker's Transformation : Chaos and Stochastic Process on a Smale's Horse-Shoe
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概要
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The area-preserving baker's transformation is extended in order to include the area non-preserving one, which is the model for a simple horse-shoe structure. The random motion on the horse-shoe is studied precisely, and the invariant density and the correlation function are obtained analytically and numerically. The random walk on the horse-shoe structure is transformed into the generalized Brownian motion with the attractor, and the non-analytic density of the generalized baker's transformation is approximated by an analytic function. The topological similarity between the Lorenz chaos and the generalized baker's transformation is briefly discussed.
- 理論物理学刊行会の論文
- 1983-05-25
著者
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Aizawa Yoji
Department Of Applied Physics Faculty Of Science And Engineering Waseda University
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MURAKAMI Chikara
Tokyo Metropolitan Institute of Technology
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Murakami Chikara
Department Of Physics University Of Kyoto
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Murakami Chikara
Department Of Chemistry University Of Tsukuba
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Aizawa Yoji
Department Of Applied Physics Advance School Of Science And Engineering Waseda University
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MURAKAMI Chikara
Department of Physics, University of Kyoto
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