Universality in Periodicity Manifestations in Turbulent Non-Locally Coupled Map Lattices
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概要
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Recently, it has been found in a globally coupled map lattice that, even in a region of very weak coupling, maps form periodic cluster attractors through synchronization when a certain condition between the map nonlinearity and the coupling is satisfied. We here investigate how this intriguing cluster formation depends on the non-locality of the couplings. We examine this issue for three types of coupled map lattices, in each case with spatial dimensions D=1,2,3. We find that for all types of coupling and for all D, the "periodicity manifestations" (cluster attractors and their remnants) occur at the same strength when the fluctuation of the local mean field around the system mean field is the same.
- 理論物理学刊行会の論文
- 2002-07-25
著者
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Shimada Tokuzo
Department Of Physics School Of Science And Technology Meiji University
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SHIMADA Tsuyoshi
Department of Applied Physics, Fukui University
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TSUKADA Shou
Department of Physics, School of Science and Technology, Meiji University
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Tsukada Shou
Department Of Physics School Of Science And Technology Meiji University
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