| 复杂动力网络的数学模型与同步准则 |
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| 引用本文： | 吕金虎. 复杂动力网络的数学模型与同步准则[J]. 系统工程理论与实践, 2004, 24(4): 17-22. DOI: 10.12011/1000-6788(2004)4-17 |
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| 作者姓名： | 吕金虎 |
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| 作者单位： | 中国科学院数学与系统科学研究院系统科学研究所 |
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| 基金项目： | 国家自然科学基金(60304017) |
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| 摘 要： | 许多自然和人造的网络都属于复杂网络,它们具有复杂的招朴结构和大量的节点.人们提出了许多数学模型来描述各种各样的复杂网络,探讨复杂网络的动力和集群行为.简要地回顾几个典型的复杂动力网络模型.基于提出的时变复杂动力网络模型,给出了几个基本的网络同步准则.最后给出了一个简单的例子加以说明.
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| 关 键 词： | 复杂网络 模型 同步 |
| 文章编号： | 1000-6788(2004)04-0017-06 |
| 修稿时间： | 2003-04-26 |
Mathematical Models and Synchronization Criterions of Complex Dynamical Networks |
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| Jin Hu LV. Mathematical Models and Synchronization Criterions of Complex Dynamical Networks[J]. Systems Engineering —Theory & Practice, 2004, 24(4): 17-22. DOI: 10.12011/1000-6788(2004)4-17 |
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| Authors: | Jin Hu LV |
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| Affiliation: | Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences |
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| Abstract: | Many natural and man-made networks are complex networks, which have complex topological structures and many nodes. Recently, various mathematical models are produced for characterizing these couplex networks and exploring the dynamical and collective behaviors of complex networks. This paper simply reviews several typical mathematical models for complex dynamical networks. Several synchronization criteria are also introduced. Finally, an example presented for verification. |
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| Keywords: | complex networks models synchronization |
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