摘要： Synchronization is one of the most important features observed in large-scale complex networks of interacting dynamical systems. As is well known, there is a close relation between the network topology and the network synchronizability. Using the coupled Hindmarsh–Rose neurons with community structure as a model network, in this paper we explore how failures of the nodes due to random errors or intentional attacks affect the synchronizability of community networks. The intentional attacks are realized by removing a fraction of the nodes with high values in some centrality measure such as the centralities of degree, eigenvector, betweenness and closeness. According to the master stability function method, we employ the algebraic connectivity of the considered community network as an indicator to examine the network synchronizability. Numerical evidences show that the node failure strategy based on the betweenness centrality has the most influence on the synchronizability of community networks. With this node failure strategy for a given network with a fixed number of communities, we find that the larger the degree of communities, the worse the network synchronizability; however, for a given network with a fixed degree of communities, we observe that the more the number of communities, the better the network synchronizability. •We explore how failures of nodes affect the synchronizability of community networks.•Random errors and intentional attacks are considered.•Attacks are realized by removing nodes with high values in some centrality measure.•Failure strategy based on the betweenness centrality has the most influence. 出版者： Elsevier B.V 出版日期： 2014-03-28 出處： Physics letters. A, 2014-03, Vol.378 (18-19), p.1239-1248 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2014 Elsevier B.V. 識別號： ISSN: 0375-9601 識別號： EISSN: 1873-2429 識別號： DOI: 10.1016/j.physleta.2014.02.041
