耦合反应扩散体系中的超点阵斑图  

Supperlattice pattern in coupled reaction diffusion systems

作　　者：刘书华[1] 谷延霞[1] 

机构地区：[1]河北农业大学理学院,河北保定071001

出　　处：《河北大学学报（自然科学版）》2012年第6期597-601,共5页Journal of Hebei University(Natural Science Edition)

基　　金：河北农业大学理工基金资助项目(LG201108);国家自然科学基金资助项目(10805013)

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.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.

关 键 词：超点阵斑图 反应扩散系统 图灵斑图 耦合 

分 类 号：O415.3[理学—理论物理]