Coupling Sensitivity of Chaos
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概要
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It is shown numerically and theoretically that chaos exhibited by one-dimensional maps is strongly sensitive to couplings to another identical chaos concerning the Lyapunov exponent. Namely, the Lyapunov exponents (L^<(i)>(d), i = 1, 2) of maps as X_<n+1> = F(X_n) + d・D(Y_n, X_n), Y_<n+1> = F(Y_n) + d・D(X_n, Y_n) obey L^<(1)>(d) - L^<(2)>(d)∝-1/1nd for small d, and likewise for L^<(i)>(d) - L^<(i)>(0).
- 理論物理学刊行会の論文
- 1984-10-25
著者
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DAIDO Hiroaki
Department of Physics, Kyoto University
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Daido Hiroaki
Research Institute For Fundamental Physics Kyoto University
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DAIDO Hiroaki
Research Institute for Fuudamental Physics, Kyoto University
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