Synchronization in a class of weighted complex networks with coupling delays
Synchronization in a class of weighted complex networks with coupling delays
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DOI：
10.1016/j.physa.2008.05.056
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发表时间：
2008-09
影响因子：
3.3
通讯作者：
Qingyun Wang;Z. Duan;Guanrong Chen;Zhaosheng Feng
中科院分区：
文献类型：
--
作者：
Qingyun Wang;Z. Duan;Guanrong Chen;Zhaosheng Feng
人们普遍认为，现实网络不仅具有复杂的拓扑结构，而且具有连接权的异构分布。此外，时间延迟是不可避免的，因为信息在复杂网络中传播的特点是信号在一定距离内的传输速度有限。具有耦合延迟的加权复杂网络在科学和工程的各个领域受到越来越多的关注。在加权复杂网络中，研究网络的同步性如何依赖于网络的耦合强度、权值分布和时延等参数是一个备受关注的问题。基于复系数线性时滞系统的渐近稳定性理论，研究了具有耦合时滞的加权复杂动态网络的同步稳定性，得到了同步状态与时滞无关和与时滞相关的简单判据。最后，通过实例对理论结果进行了验证。
It is commonly accepted that realistic networks can display not only a complex topological structure, but also a heterogeneous distribution of connection weights. In addition, time delay is inevitable because the information spreading through a complex network is characterized by the finite speeds of signal transmission over a distance. Weighted complex networks with coupling delays have been gaining increasing attention in various fields of science and engineering. Some of the topics of most concern in the field of weighted complex networks are finding how the synchronizability depends on various parameters of the network including the coupling strength, weight distribution and delay. On the basis of the theory of asymptotic stability of linear time-delay systems with complex coefficients, the synchronization stability of weighted complex dynamical networks with coupling delays is investigated, and simple criteria are obtained for both delay-independent and delay-dependent stabilities of the synchronization state. Finally, an example is given as an illustration testing the theoretical results.