| Houart-Dupont钙振荡模型的复杂动态 |
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| 引用本文： | 周莉莉,李旭东,常玉. Houart-Dupont钙振荡模型的复杂动态[J]. 北京化工大学学报(自然科学版), 2010, 37(3): 134-139. DOI: 10.3969/j.issn.1671-4628.2010.03.029 |
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| 作者姓名： | 周莉莉 李旭东 常玉 |
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| 作者单位： | 1. 北京化工大学 理学院, 北京 100029;2. 北京遥感信息研究所, 北京 100011 |
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| 摘 要： | 运用中心流形定理和分岔理论分析了Houart-Dupont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振荡现象产生与消失是由于平衡点发生了2次supercritical Hopf分岔导致的。通过运用matlab软件进行数值模拟,验证了理论分析结果的正确性。
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| 关 键 词： | Ca2+振荡 supercritical Hopf分岔 中心流形 周期轨 |
| 收稿时间： | 2009-11-27 |
Complex dynamics in the Houart-Dupont model of calcium oscillations |
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| ZHOU LiLi,LI XuDong,CHANG Yu. Complex dynamics in the Houart-Dupont model of calcium oscillations[J]. Journal of Beijing University of Chemical Technology, 2010, 37(3): 134-139. DOI: 10.3969/j.issn.1671-4628.2010.03.029 |
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| Authors: | ZHOU LiLi LI XuDong CHANG Yu |
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| Affiliation: | 1. School of Science, Beijing University of Chemical Technology, Bejing 100029; 2. Beijing Remote Sensing Institute, Beijing 100011, China |
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| Abstract: | This paper characterizes the nonlinear dynamics of the Houart-Dupont calcium oscillation model by using the center manifold theorem and bifurcation theory, including the stability and classification of equilibrium points.The results for the model show that supercritical Hopf bifurcations play very important roles in calcium oscillation.Numerical simulations confirm the theoretical analysis results. By combining the existing numerical results with the theoretical analysis results in this paper, a complete description of the dynamics of the Houart-Dupont calcium oscillation model has now been obtained. |
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| Keywords: | Ca2+ oscillations supercritical Hopf bifurcation center manifold periodic orbit |
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