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Mathematical Problems in Engineering
Volume 2013, Article ID 835037, 7 pages
http://dx.doi.org/10.1155/2013/835037
Research Article

Synchronization of Neuronal Networks via Control Rank Pinning Scheme

1School of Continuing Education, Shanghai Jiao Tong University, Shanghai 200030, China
2Institute of Textiles and Clothing, The Hong Kong Polytechnic University, Hong Kong
3College of Information Science and Technology, Dong Hua University, Shanghai 201620, China

Received 11 January 2013; Accepted 26 January 2013

Academic Editor: Yang Tang

Copyright © 2013 Qingying Miao 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

Recent studies have proposed the controlling regions in the corticocortical network of cats' brain at different scales. Here we study pinning control using a simple model of coupled oscillators assigned to cortical areas in the corticocortical network of cats' brain. We analyze control rank (CR) values of areas in the cortical network. It is found that most of the hubs have bigger CR values than other nodes in the same functional community. Moreover, we analyze the synchrony state of the functional communities in the cortical network, revealing that a community with a larger percentage of pinned nodes inside will be conducive to synchronization.