二维Lengyel-Epstein模型的六边形斑图

Hexagonal Patterns in the 2-D Lengyel-Epstein System

中文关键词:  Lengyel-Epstein 模型  分支  六边形斑图.

英文关键词:Lengyel-Epstein system  bifurcation  hexagonal patterns

中文摘要:

      从局部分支的观点讨论2维Lengyel-Epstein模型的非常数正平衡态问题. 首先, 当区域为矩形时用局部分支定理构造六边形平衡态斑图; 其次, 在分支点附近确定分支方向.

英文摘要:

      Some qualitative behaviors of stationary solutions for the 2-D Lengyel-Epstein system are considered from the local bifurcation viewpoint in this paper. First, local bifurcation branches of hexagonal stationary solutions are constructed in the special case when the habitat domain is a rectangle. Next, the type of the bifurcation diagram near the bifurcation points is discussed.