Bifurcations of the Complex Dynamical System Zn+1=ln(Zn)+C
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- Kawabe Takeshi
- Department of Physics, Okayama University
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- Kondo Yoshiro
- Department of Physics, Kawasaki Medical School
書誌事項
- タイトル別名
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- Bifurcations of the Complex Dynamical System <I>Z</I><SUB><I>n</I>+1</SUB>=ln (<I>Zn</I>)+<I>C</I>
- Bifurcations of the Complex Dynamical S
- Bifurcations of the Complex Dynamical System<i>Z</i><sub><i>n</i>+1</sub>=ln (<i>Z</i><i>n</i>)+<i>C</i>
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Mandelbrot sets of the complex logarithmic map (Remark: Graphics omitted.) have complicated and miscellaneous structures with various periods for 0≤arg(Zn)<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 |Zn|=1 is satisfied. Lyapunov exponent is also shown by contour maps in the complex C-plane.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 62 (2), 497-505, 1993
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390001204178339328
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- NII論文ID
- 110001955791
- 130003901867
- 210000097823
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1993JPSJ...62..497K
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 3805065
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可