Chavez, M., Hwang, D., Amann, A., Hentschel, H. and Boccaletti, S. (2005) Synchronization Is Enhanced in Weighted Complex Networks. Physical Review Letters, 94, Article ID: 218701.
https://doi.org/10.1103/PhysRevLett.94.218701

has been cited by the following article:

• TITLE: Distributed Synchronization of Coupled Time-Delay Neural Networks Based on Randomly Occurring Control

  AUTHORS: Xiaoyan Liu

  KEYWORDS: Complex Dynamical Networks, Time-Varying Delay Coupling, Randomly Occurring Control, Synchronization

  JOURNAL NAME: Applied Mathematics, Vol.11 No.7, July 28, 2020

  ABSTRACT: In this paper, the distributed synchronization of stochastic coupled neural networks with time-varying delay is concerned via randomly occurring control. We use two Bernoulli stochastic variables to describe the occurrence of distributed adaptive control and updating law according to certain probabilities. The distributed adaptive control and updating law for each vertex in the network depend on the state information on each vertex’s neighborhood. Based on Lyapunov stability theory, Itô differential equations, etc., by constructing the appropriate Lyapunov functional, we study and obtain sufficient conditions for the distributed synchronization of such networks in mean square.