Nonlinear analysis of a reaction-diffusion system: Amplitude equations

被引：3
|
作者：
Zemskov, E. P. [1 ]
机构：
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia
来源：
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2012年 / 115卷 / 04期
关键词：
Nonlinear Analysis; Diffusion System; Malonic Acid; Dissipative Structure; Amplitude Equation;
D O I：
10.1134/S1063776112090178
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A reaction-diffusion system with a nonlinear diffusion term is considered. Based on nonlinear analysis, the amplitude equations are obtained in the cases of the Hopf and Turing instabilities in the system. Turing pattern-forming regions in the parameter space are determined for supercritical and subcritical instabilities in a two-component reaction-diffusion system.
引用
收藏
页码：729 / 732
页数：4
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