Transition from Torus to Chaos Accompanied by Frequency Lockings with Symmetry Breaking : In Connection with the Coupled-Logistic Map
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概要
- 論文の詳細を見る
Transition from torus to chaos is studied using the coupled-logistic map. We observe the period-adding sequence, which obeys the critical phenomena of a one-dimensional mapping. The fixed Lyapunov exponent is also obtained. The locking that appears after the sequence breaks the symmetry of the system. Self-similar stripe structure of basins is also found. Various properties and a phase diagram of the map are given. The mechanism of the distortion of torus and transition to chaos is also discussed.
- 理論物理学刊行会の論文
- 1983-05-25
著者
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Kaneko K
Kyushu Sangyo Univ. Fukuoka Jpn
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Kaneko Kunihiko
Department Of Basic Science Graduate School Of Arts And Science The University Of Tokyo
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KANEKO Kunihiko
Institute of Physics, College of Arts and Sciences University of Tokyo
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KANEKO Kunihiko
Department of Pure and Applied Sciences, University of Tokyo
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KANEKO Kazunari
Department of Physics, Kyusyu University
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