摘要
Noise and time delay are inevitable in real-world networks. In this article, the framework of master stability function is generalized to stochastic complex networks with time-delayed coupling. The focus is on the effects of noise, time delay,and their inner interactions on the network synchronization. It is found that when there exists time-delayed coupling in the network and noise diffuses through all state variables of nodes, appropriately increasing the noise intensity can effectively improve the network synchronizability;otherwise, noise can be either beneficial or harmful. For stochastic networks, large time delays will lead to desynchronization. These findings provide valuable references for designing optimal complex networks in practical applications.
作者
朵兰
项林英
陈关荣
Duolan;Linying Xiang;Guanrong Chen(School of Control Engineering,Northeastern University at Qinhuangdao,Qinhuangdao 066004,China;School of Artificial Intelligence,Tiangong University,Tianjin 300387,China;Department of Electrical Engineering,City University of Hong Kong,Hong Kong,China)
基金
Project supported in part by the National Natural Science Foundation of China (Grant No. 61973064)
the Natural Science Foundation of Hebei Province of China (Grant Nos. F2019501126 and F2022501024)
the Natural Science Foundation of Liaoning Province, China (Grant No. 2020-KF11-03)
the Fund from Hong Kong Research Grants Council (Grant No. CityU11206320)。
