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

页码：729 / 732

页数：4

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