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.
出处
《河北大学学报(自然科学版)》
CAS
北大核心
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)
关键词
超点阵斑图
反应扩散系统
图灵斑图
耦合
supperlattice pattern
reaction diffusion system
Turing pattern
couple