二变量糖酵解模型的复金兹伯格-朗道方程系数计算(英文)  

Coefficients of the Complex Ginzburg-Landau Equation for a Two-variable Glycolytic Model

作　　者：王群[1] 李俊[2] 张鲁[2] 赵长春[2] 

机构地区：[1]徐州师范大学物理与电子工程学院,江苏徐州221116 [2]中国矿业大学化工学院,江苏徐州221008

出　　处：《徐州师范大学学报（自然科学版）》2007年第4期45-48,共4页Journal of Xuzhou Normal University(Natural Science Edition)

基　　金：Research supported by the Natural Science Foundation of Xuzhou Normal University(06XLA07)

摘　　要：三阶复金兹伯格-朗道方程(CGLE)是物理和化学等领域广泛研究的非线性方程之一.文中计算了二变量糖酵解模型在给定参数下对应的CGLE系数.结果表明,具有周期折叠分岔的反应扩散糖酵解模型只有在控制参数足够接近超临界霍普夫分岔临界值时,CGLE才能作为原方程的近似.所得系数的正确性已通过对原方程的数值积分与斑图形成模拟予以验证.The cubic complex Ginzburg-Landau equation （CGLE） is one of the most-studied nonlinear equations in the physical and chemical community. In this paper,the coefficients of the CGLE for a two-variable glycolytic model are presented. The results indicate that the original glycolytic equations,which have a cyclic fold bifurcation, can be approximated by the CGLE only when the control parameters are sufficiently close to the supercritical Hopf bifurcation. The coefficients presented here are confirmed by numerical integrations and pattern formation simulation.

关 键 词：复金兹伯格-朗道方程 反应扩散方程 糖酵解模型 数值模拟 

分 类 号：O41[理学—理论物理]