原子与分子物理学报2004，Vol.21Issue(4)：695-699,5.
反应扩散系统中时空斑图研究
Spatiotemproal pattern formation in a reaction-diffusion system
摘要
Abstract
Spatiotemporal pattern formtions are often found in reaction-diffusion systems. One-dimension patterns have been obtained in the extended Brusselator model. In this paper, linear stability analysis is applied to the Brusselator modd, a series of time-space pattern are obtained in two-dimension space by numerical simulations. Homogeneous bulk oscillations are unstable when systems are far away bifurcation point. We explain that some patterns are formed because of instabilities and interaction between instabilities. We further point out that the Brusselator model is a perfect model unraveling dissipative structre and the mechanism of patterns.关键词
Brusselator模型/线性稳定性分析Key words
The Brusselator model/Linear stability analysis分类
化学化工引用本文复制引用
刘玉芳,无言宁,许后菊..反应扩散系统中时空斑图研究[J].原子与分子物理学报,2004,21(4):695-699,5.基金项目
Natural Science Foundation of China ( Grant No. 10174019),Natural Science Foundation of Henan Educational Committee (Grant No. 2001-89 and 2003140028). （ Grant No. 10174019）
