Scaling Behaviors of Characteristic Exponents near Chaotic Transition Points : Condensed Matter and Statistical Physics
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概要
- 論文の詳細を見る
Characteristic exponents, which have been introduced previously for extended Lyapunov exponents, are studied for the system X_<t+1>=X_t + p_r(X_t), (p_r(X+1)=p_r(X)), near its transition points of chaos-induced diffusion. The scaling properties of the characteristic exponents are discovered and turn out to depend on the types of the transition points. For two typical cases, explicit forms of scaling functions are analytically determined. The numerical calculations of the characteristic exponents for the sinusoidal map p_r(X)= r sin(2πX) are carried out, and a good agreement with the analytical results is obtained.
- 理論物理学刊行会の論文
- 1984-07-25
著者
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Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
Inoue Masayoshi
Department Of Agriculture Kyoto Prefectural University
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Uchimura Hiroshi
Department Of Physics Kagoshima University
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FUJISAKA Hirokazu
Department of Physics,Kagoshima University
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