| 复杂动力网络结构的同步稳定性研究 |
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| 引用本文： | 梁晓明,高婷,吕华平.复杂动力网络结构的同步稳定性研究[J].徐州师范大学学报(自然科学版),2007,25(1):37-40,53. |
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| 作者姓名： | 梁晓明 高婷 吕华平 |
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| 作者单位： | 徐州师范大学物理与电子工程学院,江苏,徐州,221116 |
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| 基金项目： | 江苏省高校自然科学基金 |
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| 摘 要： | 分析了复杂动力网络的同步稳定性与其拓扑结构的关系,讨论了最近邻耦合网络、小世界网络和随机网络三种不同拓扑结构网络模型的同步稳定性,数值计算了对给定动力学方程的三种网络模型的最大横截李雅普诺夫指数,其结论与耦合结构矩阵的特征值分析相一致.
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| 关 键 词： | 复杂动力网络 同步稳定性 小世界网络模型 |
| 文章编号： | 1007-6573（2007）01-0037-04 |
| 修稿时间： | 2006-04-24 |
The Research on Synchronized Stability of Complex Dynamical Networks Structure |
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| LIANG Xiao-ming,GAO Ting,L Hua-ping.The Research on Synchronized Stability of Complex Dynamical Networks Structure[J].Journal of Xuzhou Normal University(Natural Science Edition),2007,25(1):37-40,53. |
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| Authors: | LIANG Xiao-ming GAO Ting L Hua-ping |
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| Institution: | School of Physics and Electronic Engineering, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China |
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| Abstract: | In this paper,the relation between the synchronized stability and the topology structure in complex dynamical networks is analysed,and the synchronized stability of three kinds of topology structure network model: the nearest-neighbor coupled network,the small-world network and the random network,is discussed.The largest transversal Lyapunov exponents of the three network models given dynamical equation are numerically calculated,and the results coincide with the eigenvalue analysis of the coupling configuration matrix. |
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| Keywords: | complex dynamical network synchronized stability small-world network model |
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