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| Controlled Synchronizibility Analysis for Non-diffusively Coupled Complex Networks |
| Liu Ge-qun Xu Xiao-ming |
| School of Optical-electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China |
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Abstract Controlled synchronizibility of non-diffusively coupled complex networks is studied. After the analysis of eigenvalues distribution of outer coupling matrix of non-diffusively coupled complex networks, control law for synchronize non-diffusively coupled complex networks is given. It is found that the smaller the distance between largest and smallest eigenvalues of outer coupling matrix, the stronger the controlled synchronizibility of non-diffusively coupled complex networks. It is also found that the smaller the coupling strength, the greater the possibility that the network can achieve controlled synchronization. However under certain condition a smaller coupling strength requires a larger control gain value. Finally a small-world network formed by coupled Lorenz oscillators which needs to be controlled to synchronize onto chaotic orbit is given as an example to illustrate the effectiveness of the results.
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Received: 25 July 2011
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Corresponding Authors:
Liu Ge-qun
E-mail: lgqpapers@sina.com
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2012, Vol. 34 
