Synchronization of stochastic complex networks with time-delayed coupling

doi:10.1088/1674-1056/acc44e

中国物理B ›› 2023, Vol. 32 ›› Issue (6): 60502-060502.doi: 10.1088/1674-1056/acc44e

Synchronization of stochastic complex networks with time-delayed coupling

Duolan(朵兰)¹, Linying Xiang(项林英)^2,†, and Guanrong Chen(陈关荣)³

1 School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China;
2 School of Artificial Intelligence, Tiangong University, Tianjin 300387, China;
3 Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China

收稿日期:2022-11-09 修回日期:2023-02-21 接受日期:2023-03-15 出版日期:2023-05-17 发布日期:2023-06-07
通讯作者: Linying Xiang E-mail:xianglinying@neuq.edu.cn
基金资助:
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).

Synchronization of stochastic complex networks with time-delayed coupling

Duolan(朵兰)¹, Linying Xiang(项林英)^2,†, and Guanrong Chen(陈关荣)³

1 School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China;
2 School of Artificial Intelligence, Tiangong University, Tianjin 300387, China;
3 Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China

Received:2022-11-09 Revised:2023-02-21 Accepted:2023-03-15 Online:2023-05-17 Published:2023-06-07
Contact: Linying Xiang E-mail:xianglinying@neuq.edu.cn
Supported by:
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).

摘要/Abstract

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.

关键词: stochastic complex network, synchronization, noise, time delay

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.

Key words: stochastic complex network, synchronization, noise, time delay

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.-a (Nonlinear dynamics and chaos)

Duolan(朵兰), Linying Xiang(项林英), and Guanrong Chen(陈关荣). Synchronization of stochastic complex networks with time-delayed coupling[J]. 中国物理B, 2023, 32(6): 60502-060502.

Duolan(朵兰), Linying Xiang(项林英), and Guanrong Chen(陈关荣). Synchronization of stochastic complex networks with time-delayed coupling[J]. Chin. Phys. B, 2023, 32(6): 60502-060502.

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Synchronization of stochastic complex networks with time-delayed coupling

Synchronization of stochastic complex networks with time-delayed coupling

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