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Chaotic Turing pattern formation in spatiotemporal systems |
XIAO Jing-hua1, LI Hai-hong1, YANG Jun-zhong1, HU Gang2 |
1.School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China; 2.Department of Physics, Beijing Normal University, Beijing 100875, China; |
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Abstract The problem of Turing pattern formation has attracted much attention in nonlinear science as well as physics, chemistry and biology. So far spatially ordered Turing patterns have been observed in stationary and oscillatory media only. In this paper we find that spatially ordered Turing patterns exist in chaotic extended systems. And chaotic Turing patterns are strikingly rich and surprisingly beautiful with their space structures. These findings are in sharp contrast with the intuition of pseudo-randomness of chaos. The richness and beauty of the chaotic Turing patterns are attributed to a large variety of symmetry properties realized by various types of self-organizations of partial chaos synchronizations.
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Issue Date: 05 June 2006
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