Fractal Transformation of the One-Dimensional Chaos Produced by Logarithmic Map : General and Mathematical Physics
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概要
- 論文の詳細を見る
The logarithmic map given by the difference equation x_<n+1>=ln(a∣x_n∣) generates chaos for e^< -1>< a < e. The variation of x_n in n-sequence of a chaos region represents characteristic shapes depending on parameter a. The entropy and Lyapunov exponent for the system are obtained as a function of a. On repeating transformation for the case a=1.0 by which a point stretched unlimitedly by this dynamical equation is squeezed in the region (0, 1), a fractal behaviour characterized by self-affinity can be found in the expansion of the n-sequence for various initial values x_0.
- 理論物理学刊行会の論文
- 1991-04-25
著者
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KONDO Yoshiro
Department of Applied Biology, Kyoto Institute of Technology
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Kondo Yoshiro
Department Of Physics Kawasaki Medical School
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Kawabe Takeshi
Department Of Physics Faculty Of Science Okayama University
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KAWABE Takeshi
Department of Physics, Okayama University
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KONDO Yoshiro
Department of Physics, Kawasaki Medical School
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