Bifurcation analysis of reaction-diffusion Schnakenberg model

被引：60
|
作者：
Liu, Ping [1 ,2 ]
Shi, Junping [3 ]
Wang, Yuwen [1 ,2 ]
Feng, Xiuhong [1 ,2 ]
机构：
[1] Harbin Normal Univ, YY Tseng Funct Anal Res Ctr, Harbin 150025, Heilongjiang, Peoples R China
[2] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
[3] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2013年 / 51卷 / 08期
基金：
黑龙江省自然科学基金; 美国国家科学基金会;
关键词：
Schnakenberg model; Steady state solution; Hopf bifurcation; Steady state bifurcation; Pattern formation; SPATIOTEMPORAL PATTERNS; STABILITY; DYNAMICS; SYSTEMS;
D O I：
10.1007/s10910-013-0196-x
中图分类号：
O6 [化学];
学科分类号：
0703 ;
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
收藏
页码：2001 / 2019
页数：19
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