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Chin. Phys. B, 2013, Vol. 22(7): 070504    DOI: 10.1088/1674-1056/22/7/070504
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Generalized projective synchronization of two coupled complex networks with different sizes

Li Ke-Zana, He Ena, Zeng Zhao-Rongb, Chi K. Tsec
a School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China;
b School of Business, Guilin University of Electronic Technology, Guilin 541004, China;
c Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China
Abstract  We investigate a new generalized projective synchronization (GPS) between two complex dynamical networks of different sizes. To the best of our knowledge, most current studies on the projective synchronization have dealt with coupled networks with the same size. By generalized projective synchronization, we mean that the states of nodes in each network can realize complete synchronization, and the states of pair nodes from both networks can achieve projective synchronization. By using the stability theory of dynamical system, several sufficient conditions for guaranteeing the existence of the generalized projective synchronization under feedback control and adaptive control are obtained. As an example, we use Chua's circuits to demonstrate the effectiveness of our proposed approach.
Keywords:  complex network      projective synchronization      adaptive control  
Received:  27 November 2012      Revised:  02 February 2013      Published:  01 June 2013
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
  89.75.Hc (Networks and genealogical trees)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61004101, 11161013, and 61164020) and the Natural Science Foundation of Guangxi Province, China (Grant Nos. 2011GXNSFB018059, 2011GXNSFA018136, and 2011GXNSFA018134).
Corresponding Authors:  Li Ke-Zan     E-mail:  lkzzr@guet.edu.cn

Cite this article: 

Li Ke-Zan, He En, Zeng Zhao-Rong, Chi K. Tse Generalized projective synchronization of two coupled complex networks with different sizes 2013 Chin. Phys. B 22 070504

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