Li-Rinzel钙振荡模型的复杂动态  

Complex dynamics in the Li-Rinzel calcium oscillation model

作　　者：张利晶[1] 王健[2] 常玉[1] 

机构地区：[1]北京化工大学理学院 [2]北京化工大学化学工程学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2008年第3期104-107,共4页Journal of Beijing University of Chemical Technology(Natural Science Edition)

摘　　要：分析了Li-Rinzel钙振荡模型的非线性动态,包括随参数变化时平衡点的类型及其稳定性的变化,从理论上严格证明了系统中振荡现象产生与消失分别是由于平衡点发生supercritical Hopf分岔和subcritical Hopf分岔导致的。当分岔参数c(IP3)>0时,系统不会发生静态分岔。通过数值模拟,验证了理论分析结果的正确性。This paper reports a characterization of the nonlinear dynamics of the Li-Rinzel calcium oscillation model, including the variation in classification and stability of equilibrium points with parameter value. It is concluded that the appearance and disappearance of calcium oscillations in this system is due to supercritical Hopf bifurcation and subcritical Hopf bifurcation of equilibrium points. In addition, it is shown that the static bifurcation is not available when parameter . Numerical simulations confirm the results of the theoretical analysis.

关 键 词：Ca^2+振荡 c(IP3) HOPF分岔 

分 类 号：O193[理学—数学]