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Mathematical Problems in Engineering
Volume 2010, Article ID 826721, 10 pages
Research Article

Global Synchronization in Complex Networks with Adaptive Coupling

Department of Mathematics & Information Science, Zhangzhou Normal University, Zhangzhou 363000, China

Received 3 May 2009; Revised 21 September 2009; Accepted 5 January 2010

Academic Editor: Dane Quinn

Copyright © 2010 Zhengzhong Yuan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Global synchronization in adaptive coupling networks is studied in this paper. A new simple adaptive controller is proposed based on a concept of asymptotically stable led by partial state variables. Under the proposed adaptive update law, the network can achieve global synchronization without calculating the eigenvalues of the outer coupling matrix. The update law is only dependent on partial state variables of individual oscillators. Numerical simulations are given to show the effectiveness of the proposed method, in which the unified chaotic system is chosen as the nodes of the network with different topologies.