Synchronizability of dynamical scale-free networks subject to random errors |
| |
| Authors: | Mahdi Jalili |
| |
| Institution: | 1. Departamento de Física, Universidade Federal do Paraná, Curitiba 81531-980, PR, Brazil;2. Universidade Federal do Rio Grande do Norte, Departamento de Biofísica e Farmacologia, Natal, 59078-970, Brazil;3. Universidade Federal do Rio Grande do Norte, Escola de Ciências e Tecnologia, Natal, 59078-970, Brazil;4. Potsdam Institute for Climate Impact Research - Telegraphenberg A 31, Potsdam, 14473, Germany;5. Humboldt University Berlin, Department of Physics, Berlin, 12489, Germany;1. Mathematics and Computer Science Department, Faculty of Science, Beirut Arab University, Beirut, Lebanon;2. Department of Computer Science and Mathematics, School of Arts and Sciences, Lebanese American University, Beirut, Lebanon;3. Mathematics and Computer Science Department, Faculty of Science, Alexandria University, Alexandria, Egypt;1. College of Physics and Engineering, Chengdu Normal University, Chengdu 611130, China;2. Department of Transportation, Southeast University, Nanjing 210096, China;3. School of Mechanical and Vehicular Engineering, Beijing Institute of Technology, Beijing 100081, China;4. Research Institute of Internet of Mobility, Southeast University, China and UW-Madison, Nanjing 210096, China |
| |
| Abstract: | In this paper the robustness of network synchronizability against random deletion of nodes, i.e. errors, in dynamical scale-free networks was studied. To this end, two measures of network synchronizability, namely, the eigenratio of the Laplacian and the order parameter quantifying the degree of phase synchrony were adopted, and the synchronizability robustness on preferential attachment scale-free graphs was investigated. The findings revealed that as the network size decreases, the robustness of its synchronizability against random removal of nodes declines, i.e. the more the number of randomly removed nodes from the network, the worse its synchronizability. We also showed that this dependence of the synchronizability on the network size is different with that in the growing scale-free networks. The profile of a number of network properties such as clustering coefficient, efficiency, assortativity, and eccentricity, as a function of the network size was investigated in these two cases, growing scale-free networks and those with randomly removed nodes. The results showed that these processes are also different in terms of these metrics. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
