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Mathematical Problems in Engineering
Volume 2014, Article ID 864193, 9 pages
http://dx.doi.org/10.1155/2014/864193
Research Article

Pinning Group Synchronization in Complex Dynamical Networks with Different Groups of Oscillators

1College of Science, Guilin University of Technology, Guilin 541004, China
2Guangxi Key Laboratory of Spatial Information and Geomatics, Guilin 541004, China

Received 13 November 2013; Revised 19 January 2014; Accepted 20 January 2014; Published 4 March 2014

Academic Editor: Baocang Ding

Copyright © 2014 Guangming Deng. 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

This paper investigates the pinning control schemes and corresponding criteria for group synchronization in a complex dynamical network with different types of chaotic oscillators. We present the linear pinning and adaptive pinning control schemes to make different groups of oscillators synchronize to their own synchronization states, respectively. The globally asymptotically stable criteria for group synchronization are derived, which indicate that the group synchronization can be realized only by pinning a part of nodes in a general network. Finally, some numerical simulations are provided to verify the theoretical results.