非耗散耦合复杂网络受控同步能力分析

doi:10.3724/SP.J.1146.2011.00753

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摘要该文研究了非耗散耦合网络的受控同步能力问题。在分析非耗散耦合网络外耦合矩阵特征值分布规律的基础上，给出了非耗散耦合网络的同步控制律。发现外耦合矩阵最大最小特征值之差越小，网络受控同步能力越强，耦合强度越小，网络越有可能通过控制取得同步，但在某些情况下所需要的控制增益绝对值也越大。最后以Lorenz振子小世界网络在混沌轨道上的同步为例对相关结论的有效性进行了验证。

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关键词 ：非耗散耦合网络, 受控同步能力, 外耦合矩阵, 耦合强度

Abstract：Controlled synchronizibility of non-diffusively coupled complex networks is studied. After the analysis of eigenvalues distribution of outer coupling matrix of non-diffusively coupled complex networks, control law for synchronize non-diffusively coupled complex networks is given. It is found that the smaller the distance between largest and smallest eigenvalues of outer coupling matrix, the stronger the controlled synchronizibility of non-diffusively coupled complex networks. It is also found that the smaller the coupling strength, the greater the possibility that the network can achieve controlled synchronization. However under certain condition a smaller coupling strength requires a larger control gain value. Finally a small-world network formed by coupled Lorenz oscillators which needs to be controlled to synchronize onto chaotic orbit is given as an example to illustrate the effectiveness of the results.

Key words： Non-diffusively coupled complex networks Controlled synchronizibility Outer coupling matrix Coupling strength

收稿日期: 2011-07-25

PACS:

TP273

基金资助:

国家自然科学基金(10975099)，教育部博士点基金(2010312 0110008)，上海市基础研究重点项目(09JC1408000)，上海市重点学科建设项目(S30501)和上海理工大学光电信息与计算机工程学院教师创新能力建设项目(GDCX-Y-1212)资助课题

通讯作者: 刘歌群 E-mail: lgqpapers@sina.com

引用本文:

刘歌群, 许晓鸣. 非耗散耦合复杂网络受控同步能力分析[J]. 电子与信息学报, 2012, 34(3): 722-727. Liu Ge-Qun, Xu Xiao-Ming. Controlled Synchronizibility Analysis for Non-diffusively Coupled Complex Networks. , 2012, 34(3): 722-727.

链接本文:

http://jeit.ie.ac.cn/CN/10.3724/SP.J.1146.2011.00753 或 http://jeit.ie.ac.cn/CN/Y2012/V34/I3/722