Turing Instability Leads Oscillatory Systems to Spatiotemporal Chaos(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
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概要
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We present that Turing instability can lead oscillatory reaction-diffusion (RD) systems to spatiotemporal chaos instead of spatially periodic steady states. Similar onset of spatiotemporal chaos was discovered in an equation describing seismic waves. We demonstrate that the seismic equation can be derived from a certain class of oscillatory RD systems in the neighborhood of a codimension-two Turing-Benjamin-Feir point. Also, we show numerical studies of reduced equations and discuss robustness of this spatiotemporal chaos.
- 2006-04-20
著者
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TANAKA Dan
Department of Physics, Kyoto University
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Tanaka Dan
Fukui Univ. Fukui Jpn
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Tanaka Dan
Department Of Human And Artificial Intelligent Systems (hart) Graduate School Of Engineering Fukui U
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Tanaka Dan
Department of Complex Systems Science, Graduate School of Information Science, Nagoya University, Nagoya 464-8601, Japan
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TANAKA Dan
Department of Human and Artificial Intelligent Systems (HART), Graduate School of Engineering, Fukui University:PRESTO, Japan Science and Technology Agency
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TANAKA Dan
Department of Human and Artificial Intelligent Systems (HART), Faculty of Engineering, Fukui University
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