Turing structures and stability for the 1-D Lengyel-Epstein system

被引：12
|
作者：
Wei, Meihua [1 ]
Wu, Jianhua [1 ]
Guo, Gaihui [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2012年 / 50卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Lengyel-Epstein system; Turing bifurcation; Stability; Lyapunov-Schmidt procedure; Normal form; REACTION-DIFFUSION SYSTEMS; PATTERNS; BIFURCATION;
D O I：
10.1007/s10910-012-0037-3
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
This paper continues the analysis on the Lengyel-Epstein reaction- diffusion system of the chlorite-iodide-malonic acid-starch (CIMA) reaction for the rich Turing structures. The steady state structures, especially the double bifurcation one, and their stability and multiplicity are studied by the use of Lyapunov-Schmidt reduction technique and singularity theory. Numerical simulations are presented to support our theoretical studies. The results show that the richer stationary Turing patterns heavily rely both on the size of the reactor and on the effective diffusion rate in the CIMA reaction.
引用
收藏
页码：2374 / 2396
页数：23
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