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耦合反应扩散体系中的超点阵斑图
引用本文:刘书华,谷延霞. 耦合反应扩散体系中的超点阵斑图[J]. 河北大学学报(自然科学版), 2012, 32(6): 597-601
作者姓名:刘书华  谷延霞
作者单位:河北农业大学理学院,河北保定,071001
基金项目:河北农业大学理工基金资助项目,国家自然科学基金资助项目
摘    要:采用双层耦合的布鲁塞尔(Brusselator)模型研究了超点阵斑图的形成机制.理论分析和数值模拟结果表明,只有在具有较短波长图灵模的系统中才能产生超点阵斑图.将不同类型的斑图进行耦合,得到了超六边形斑图和黑眼斑图等超点阵斑图.本工作还在反应扩散系统中首次得到了长方形斑图.

关 键 词:超点阵斑图  反应扩散系统  图灵斑图  耦合

Supperlattice pattern in coupled reaction diffusion systems
LIU Shuhua , GU Yanxia. Supperlattice pattern in coupled reaction diffusion systems[J]. Journal of Hebei University (Natural Science Edition), 2012, 32(6): 597-601
Authors:LIU Shuhua    GU Yanxia
Affiliation:(College of Science,Agricultural University of Hebei,Baoding 071001,China)
Abstract:The formation mechanism of superlattice patterns has been investigated by using the two-layer coupled Brusselator model.It is found that superlattice patterns can only be obtained in the sub-systems with shorter wavelength.By coupling with different types of Turing patterns,various superlattice patterns including super-hexagon pattern and black eye pattern have been observed.In addition,the rectangular pattern has been found in the reaction diffusion system for the first time.
Keywords:supperlattice pattern  reaction diffusion system  Turing pattern  couple
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