不同图灵模作用的几种斑图  

Several patterns formed by different Turing-mode interaction

作　　者：白占国[1] 董丽芳[1] 

机构地区：[1]河北大学物理科学与技术学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2012年第2期140-143,共4页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10775037)

摘　　要：采用双层耦合的CIMA模型,研究了不同图灵模相互作用时斑图的选择、形成机制.结果表明:当2个子系统分别处在超临界和次临界分岔点附近时,超临界图灵模和次临界图灵模相互作用产生耦合,得到六边形和超六边斑图;当2个子系统激发的图灵模均为超临界模时,二者之间不发生耦合,每个子系统各自形成简单的条纹斑图;当2个子系统激发的图灵模均为次临界模时,2个模产生相互作用,系统最终选择完全相同的"豆角"斑图.此外,图灵模的分岔类型还改变斑图的空间对称性.Mechanisms of pattern formation and pattern selection with different Turing modes interac- tion are investigated by using a two-layer coupled CIMA model. It is shown that hexagonal superlattice and simple hexagon arise respectively in subsysteml and subsystem 2 under the condition that two subsystems locate at supercritical or subcritical bifurcation point. Both of them in two subsystems cannot interact when the two Turing modes are supercritical and one simple stripe pattern in each of sub-systems emerges spontaneously. The identical ＇bean＇ patterns is selected in the two subsystems when two Turing modes are subcriticl. In addition, the bifurcation types of the Turing modes also affect the spatial symmetry of the emerging patterns in system.

关 键 词：图灵模 超点阵 超临界和次临界 

分 类 号：O461.2[理学—电子物理学]