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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 314742, 6 pages
http://dx.doi.org/10.1155/2014/314742
Research Article

Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning Control

School of Mathematic and Statistics, Tianshui Normal University, Tianshui 741001, China

Received 10 March 2014; Revised 20 April 2014; Accepted 22 April 2014; Published 12 May 2014

Academic Editor: Jun Hu

Copyright © 2014 Li-xin Yang 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.

Abstract

Synchronization is the strongest form of collective phenomena in complex systems of interacting components. In this paper, the problem of cluster projective synchronization of complex networks with fractional-order nodes based on the fractional-order differential equation stability theory is investigated. Only the nodes in one community which have direct connections to the nodes in other communities are controlled. Some sufficient synchronization conditions are derived via pinning control. Numerical simulations are provided to show the effectiveness of the theoretical results.