Synchronization properties of interconnected network based on the vital node |
| |
| Authors: | Shasha Feng Li Wang Shiwen Sun Chengyi Xia |
| |
| Institution: | 1.Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology,Tianjin University of Technology,Tianjin,China;2.Key Laboratory of Computer Vision and System (Ministry of Education),Tianjin University of Technology,Tianjin,China |
| |
| Abstract: | In this paper, we perform an intensive study of the synchronization properties of interconnected network and the concepts of vital node, and the simplest and equivalent network is firstly introduced. We strictly derive the eigenvalues of Laplacian matrix and the synchronizability of interconnected network and its simplest and equivalent network through utilizing the master stability function approach. Firstly, we find the synchronizability of interconnected network is identical to its simplest and equivalent network. Secondly, we identify the general factors that determine the synchronizability of interconnected network and further analyze the impact of different factors on the synchronizability. Finally, theoretical analysis and numerical simulations are carried out to indicate the validity and effectiveness of current analysis. The current results are beneficial to understand the dynamical behaviors of complex networked systems. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
