Synchronization of stochastic complex networks with time-delayed coupling

doi:10.1088/1674-1056/acc44e

Abstract 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.

Keywords: stochastic complex network synchronization noise time delay

Received: 09 November 2022
Revised: 21 February 2023
Accepted manuscript online: 15 March 2023

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: 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-KF-11-03), and the Fund from Hong Kong Research Grants Council (Grant No. CityU11206320).

Corresponding Authors: Linying Xiang
E-mail: xianglinying@neuq.edu.cn

Cite this article:

Duolan(朵兰), Linying Xiang(项林英), and Guanrong Chen(陈关荣) Synchronization of stochastic complex networks with time-delayed coupling 2023 Chin. Phys. B 32 060502

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