Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2005-04-08
Nonlinear Sciences
Pattern Formation and Solitons
12 pages, 4 figures
Scientific paper
The problem of Turing pattern formation has attracted much attention in nonlinear science as well as physics, chemistry and biology. So far all Turing patterns have been observed in stationary and oscillatory media only. In this letter we find for the first time that 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. Some statistical measurements are performed to confirm and heuristically understand these findings.
Hu Gang
Xiao Jinghua
Yang Junzhong
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