Characterizing the synchronizability of small-world dynamical networks
By Jinhu Lu, Xinghuo Yu, Guanrong Chen, DaiZhan Cheng. IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2004
445 citations recorded by the source corpus.
Many real-world complex networks display a small-world feature-a high degree of clustering and a small average distance. We show that the maximum synchronizability of a network is completely determined by its associated feedback system, which has a precise meaning in terms of synchronous communication. We introduce a new concept of synchronizability matrix to characterize the maximum synchronizability of a network. Several new concepts, such as sensitive edge and robust edge, are proposed for analyzing the robustness and fragility of synchronization of a network. Using the knowledge of synchronizability, we can purposefully increase the robustness of the network synchronization and prevent it from attacks. Some applications in small-world networks are also discussed briefly.
Subfields: Computer Networks and Communications, Molecular Biology
View Paper: https://www.semanticscholar.org/paper/2c8db6ced49807b4b96ac99b16be6fa3511ad4da
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Citations in the corpus
- Global Synchronization of Linearly Hybrid Coupled Networks with Time-Varying Delay (2008, background): “On the other hand, one can also extend the existing network models by introducing dynamical elements into the network nodes [3, 4, 14, 32, 33, 34].”
- Local Synchronization of a Complex Network Model (2009, background): “The synchronization of complex networks has been intensively investigated [7]–[17], [37]–[39] based on the model (1) or (3).”
- A time-varying complex dynamical network model and its controlled synchronization criteria (2004, unknown): “Recently, the synchronization of chaotic coupled networks has become a focal point in the study of nonlinear dynamics [5-12,15,17-21].”
- Exponential synchronization of stochastic delayed discrete-time complex networks (2008, background): “It has been shown in [20] that the maximum synchronizability of a network is completely determined by its associated feedback system and characterized by the synchronizability matrix.”