Critical Behavior of Complex Logarithmic Map
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概要
- 論文の詳細を見る
It is exhibited, for a complex logarithmic map Z⟼ ln Z+C, that there exists a k-period region near the point with Ω=1/k on the boundary curve of the cycloid C=exp (i2πΩ)-i2πΩ where a Hopf bifurcation takes place, and that a circle map is embedded into the curve. The Devil's staircase emerges just within the boundary and the Farey tree is constructed. The area of the k-period region in a periodic sequence 2→3→4→… is predicted to be scaled by k^<-6> for large k, and which is also numerically ascertained.
- 社団法人日本物理学会の論文
- 1993-11-15
著者
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Kawabe Takeshi
Department Of Physics Faculty Of Science Okayama University
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Tanaka Masaaki
Department Of Computer Engineering University Of Hyogo:(presently With)mitsubishi Electric Co.
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Tanaka Masaaki
Department of Medical Informatics, Kawasaki University of Medical Welfare
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