Observation of Chaotic Attractor in Spatially Extended Systems : Coarse-Grained Dimension of Frozen Chaos
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概要
- 論文の詳細を見る
We found that the time-delay embedding method results in site-dependent dimensions when applied to frozen chaos composed of chaotic and periodic domains in coupled map lattices. The nonuniqueness of the observed dimension implies that attractors of high-dimensional systems are generally characterized by on effective dimension, namely, the dimension depends on the scale of measurement. When a localized chaotic domain is formed in a large homogeneous system, estimation of the dimension in the chaotic domain may yield a very small value, which is an effective dimension corresponding to coarse scales. We show that this value is equal to the dimension defined on infinitesimal scales in a conventional manner for an isolated lower-dimensional system.
- 社団法人応用物理学会の論文
- 1999-06-15
著者
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NAITO Masayoshi
Advanced Research Laboratory, Hitachi, Ltd.
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Choi Donghak
Department Of Physics Tokyo Metropolitan University
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FUCHIKAMI Nobuko
Department of physics, Faculty of Science, Tokyo Metropolitan University
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Naito Masayoshi
Advanced Research Lab. Hitachi Ltd.
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Naito Masayoshi
Advanced Research Laboratory Hitachi Ltd.
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ISHIOKA Shunya
Department of Information Science, Kanagawa University at Hiratsuka
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CHOI Donshak
Department of Physics, Tokyo Metropolitan University
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HIROKAMI Eriko
Department of Physics, Tokyo Metropolitan University
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Fuchikami Nobuko
Department Of Physics Faculty Of Science Tokyo Metropolitan University
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Hirokami Eriko
Department Of Physics Tokyo Metropolitan University
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Ishioka Shunya
Department Of Information Sciences Kanagawa University
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Ishioka Shunya
Department Of Information Science Kanagawa University
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Choi Donshak
Department Of Physics Tokyo Metropolitan University
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