Synchronization in multiplex networks

Wu, Xiaoqun; Wu, Xiuqi; Wang, Chong-Yang; Mao, Bing; Lu, Jun-an; Lü, Jinhu; Zhang, Yi-Cheng; Lü, Linyuan

doi:10.1016/j.physrep.2024.01.005

Physics Reports

2024

DOI: 10.1016/j.physrep.2024.01.005

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Synchronization in multiplex networks

Xiaoqun Wu,

Xiuqi Wu,

Chong-Yang Wang

et al.

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2024

2025

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Cited by 15 publications

References 254 publications

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Quasi‐synchronization for complex networks under deception attacks via saturated impulsive control

Feng,

Ma,

et al. 2024

Asian Journal of Control

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This paper addresses the issue of saturated impulsive control for a class of dynamical networks with hybrid delays and unknown bounded disturbances that are susceptible to deception attacks. Achieving local exponential quasi‐synchronization is the objective. Physical networks are often restricted by saturation, making them more vulnerable to cyberattacks that can disrupt network performance. Unlike previous studies on saturated impulsive control, this paper fully considers the effect of deception attacks on saturated impulse by proposing a new constraint of set inclusion. Criteria for the local quasi‐synchronization problem are established using the Lyapunov method and the comparison principle of impulsive systems. Our results demonstrate that the error bounds for quasi‐synchronization are closely linked to the impulsive interval, time‐delay, intensity of external disturbances, and deception attacks. Finally, numerical simulations are conducted to validate the effectiveness of our proposed approach.

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Quasi‐synchronization for complex networks under deception attacks via saturated impulsive control

Feng,

Ma,

et al. 2024

Asian Journal of Control

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Synchronization of stochastic complex networks based on privacy protection

Xu,

Wu,

Xie

et al. 2024

Math Methods in App Sciences

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As one of the security issues, privacy protection (PP) has become a research hotspot. The paper studies the synchronization problem of stochastic networks based on PP. First, a synchronization standard for stochastic network with delay is given based on PP. Second, a finite‐time (FnT) synchronization criterion for stochastic network without delay is given based on PP. The PP function of continuous time‐varying function is designed to mask the real state of the controlled complex network before converging to the real value in FnT and infinite time. Finally, the effectiveness of the method discussed in this article was verified through simulation examples.

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Effects of official information diffusion and rumor-related behavior adoption on epidemic transmission in multiplex networks

Yu,

Huo

2025

Information Sciences

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Synchronization in multiplex networks

Cited by 15 publications

References 254 publications

Quasi‐synchronization for complex networks under deception attacks via saturated impulsive control

Quasi‐synchronization for complex networks under deception attacks via saturated impulsive control

Synchronization of stochastic complex networks based on privacy protection

Effects of official information diffusion and rumor-related behavior adoption on epidemic transmission in multiplex networks

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