Fu Chenbo, Zhang Hong, Zhan Meng, Wang Xingang
Department of Physics, Zhejiang University, Hangzhou 310027, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jun;85(6 Pt 2):066208. doi: 10.1103/PhysRevE.85.066208. Epub 2012 Jun 25.
When a complex network is slightly desynchronized, a few of the network nodes will be escaping from the uniform synchronization background frequently with a random fashion, leading to the intermittent network synchronization. Here, based on the eigenvectors of the network coupling matrix, we propose a new method which is able to figure out the unstable nodes in the general case of desynchronized complex networks. Moreover, with this method, we are also able to regulate the seemingly random network dynamics into stable and visible synchronous patterns. The efficiency of this method is verified by a variety of network models, including varying the network structures, the node local dynamics, and the desynchronization types. Our studies show that, even for the complex network systems, synchronous patterns can still be identified and characterized.
当一个复杂网络略微失步时，一些网络节点会以随机方式频繁地从均匀同步背景中脱离出来，导致间歇性的网络同步。在此，基于网络耦合矩阵的特征向量，我们提出了一种新方法，该方法能够在失步复杂网络的一般情况下找出不稳定节点。此外，通过这种方法，我们还能够将看似随机的网络动态调节为稳定且可见的同步模式。该方法的有效性通过各种网络模型得到了验证，包括改变网络结构、节点局部动态以及失步类型。我们的研究表明，即使对于复杂网络系统，同步模式仍然可以被识别和表征。
