| Li-Rinzel钙振荡模型的复杂动态 |
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| 引用本文： | 张利晶,王健,常玉. Li-Rinzel钙振荡模型的复杂动态[J]. 北京化工大学学报(自然科学版), 2008, 35(3): 104-107 |
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| 作者姓名： | 张利晶 王健 常玉 |
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| 作者单位： | 1. 北京化工大学理学院, 北京 100029;2. 武警特警学院, 北京 100621;3. 北京化工大学化学工程学院, 北京 100029 |
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| 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。
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| 关 键 词： | Ca2+振荡 c(IP3) Hopf分岔 Ca2+振荡 c(IP3) Hopf分岔 |
| 收稿时间： | 2007-12-27 |
| 修稿时间： | 2007-12-27 |
Complex dynamics in the Li-Rinzel calcium oscillation model |
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| ZHANG LiJing,WANG Jian,CHANG Yu. Complex dynamics in the Li-Rinzel calcium oscillation model[J]. Journal of Beijing University of Chemical Technology, 2008, 35(3): 104-107 |
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| Authors: | ZHANG LiJing WANG Jian CHANG Yu |
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| Affiliation: | 1. School of Science, Beijing University of Chemical Technology, Beijing 100029; 2. Special Police Academy of CAPF, Beijing 100621; 3. College of Chemical Engineering, Beijing University of Chemical Technology, Beijing 100029, China |
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| Abstract: | 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. |
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| Keywords: | Ca2 oscillations c(IP3) Hopf bifurcation |
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