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Pinning chaotic synchronization in complex networks on maximum eigenvalue of low order matrix

Liang Yi Wang Xing-Yuan

Pinning chaotic synchronization in complex networks on maximum eigenvalue of low order matrix

Liang Yi, Wang Xing-Yuan
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  • Received Date:  18 April 2011
  • Accepted Date:  31 May 2011
  • Published Online:  15 March 2012

Pinning chaotic synchronization in complex networks on maximum eigenvalue of low order matrix

  • 1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;
  • 2. Department of Electronics and Information Engineering, Yili Normal College, Yining 835000, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 61173183, 60573172, 60973152), the Superior University Doctor Subject Special Scientific Research Foundation of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165).

Abstract: In this paper, we find the decreasing law of maximum eigenvalue of the principal sub-matrix for coupling matrix, propose a method of calculating quickly pinning nodes in complex networks, and reveal the relation between the pinning strategy and the number pinning nodes. Numerical simulations show the trends of evolution under the conditions of three pinning strategies in a scale-free network and a small world, and the effectiveness of the pinning synchronization by selecting pining nodes randomly in a scale-free network.

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