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.