Journal of Applied Mathematics

Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes

Shuguo Wang, Chunyuan He, and Hongxing Yao

Full-text: Open access

Abstract

This paper investigates a new cluster antisynchronization scheme in the time-varying delays coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently between the nodes in one community that have direct connections to the nodes in other communities and the nodes without direct connections with the nodes in other communities strategy; some sufficient criteria are derived to ensure cluster anti-synchronization of the network model. Particularly, the weight configuration matrix is not assumed to be irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 347570, 12 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495266

Digital Object Identifier
doi:10.1155/2012/347570

Mathematical Reviews number (MathSciNet)
MR2965699

Zentralblatt MATH identifier
1251.93016

Citation

Wang, Shuguo; He, Chunyuan; Yao, Hongxing. Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes. J. Appl. Math. 2012 (2012), Article ID 347570, 12 pages. doi:10.1155/2012/347570. https://projecteuclid.org/euclid.jam/1355495266


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