Bifurcation analysis of reaction–diffusion Schnakenberg model

被引：3
|
作者：
Ping Liu
Junping Shi
Yuwen Wang
Xiuhong Feng
机构：
[1] Harbin Normal University,Y.Y. Tseng Functional Analysis Research Center and School of Mathematical Sciences
[2] College of William and Mary,Department of Mathematics
来源：
Journal of Mathematical Chemistry | 2013年 / 51卷
关键词：
Schnakenberg model; Steady state solution; Hopf bifurcation; Steady state bifurcation; Pattern formation; 58F07; 58C28; 58C15; 34C23; 35B20; 35B32;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Bifurcations of spatially nonhomogeneous periodic orbits and steady state solutions are rigorously proved for a reaction–diffusion system modeling Schnakenberg chemical reaction. The existence of these patterned solutions shows the richness of the spatiotemporal dynamics such as oscillatory behavior and spatial patterns.
引用
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页码：2001 / 2019
页数：18
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