Bifurcations of the Complex Dynamical System Z_<n+1>=ln(Z_n)+C
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概要
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Mandelbrot sets of the complex logarithmic map Z⟼ln Z+C have complicated and miscellaneous structures with various periods for 0≦arg(Z_n)<2π, and they are displayed by computer graphics. Period-adding sequence can be clearly found near the boundary with fixed points region. The Hopf bifurcation occurs at the points on the boundary, and quasi-periodic chaos appears Cantor-like on a line segment of the complex C-plane where |Z_n|=1 is satisfied. Lyapunov exponent is also shown by contour maps in the complex C-plane.
- 社団法人日本物理学会の論文
- 1993-02-15
著者
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KONDO Yoshiro
Department of Applied Biology, Kyoto Institute of Technology
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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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