A Time-Varying Complex Dynamical Network Model And Its Controlled Synchronization Criteria

Details A Time-Varying Complex Dynamical Network Model And Its Controlled Synchronization Criteria A Time-Varying Complex Dynamical Network Model And Its Controlled Synchronization Criteria

2004-11-10

arxiv.org/abs/nlin/0411022v1

IEEE Transactions on Automatic Control, 2005, 50 (6): 841-846

Nonlinear Sciences

Adaptation and Self-Organizing Systems

13 pages

Scientific paper

Today, complex networks have attracted increasing attention from various fields of science and engineering. It has been demonstrated that many complex networks display various synchronization phenomena. In this paper, we introduce a time-varying complex dynamical network model. We then further investigate its synchronization phenomenon and prove several network synchronization theorems. Especially, we show that synchronization of such a time-varying dynamical network is completely determined by the inner-coupling matrix, and the eigenvalues and the corresponding eigenvectors of the coupling configuration matrix of the network.

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