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Chinese Physics, 2007, Vol. 16(11): 3231-3237    DOI: 10.1088/1009-1963/16/11/015
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Adaptive projective synchronization of unified chaotic systems and its application to secure communication

Hu Man-Feng(胡满峰)a) b)† and Xu Zhen-Yuan(徐振源 )a)‡
School of Science, Southern Yangtze University, Wuxi 214122, China; School of Information Technology, Southern Yangtze University, Wuxi 214122, China
Abstract  In this paper, a simple adaptive linear feedback control method is proposed for controlling the scaling factor between two coupled unified chaotic systems to a desired value, based on the invariance principle of differential equations. Under this control strategy, one can arbitrarily select the scaling factor. Numerical simulations are given to support the effectiveness of the proposed method and show the robustness against noise. Furthermore, a secure communication scheme based on the adaptive projective synchronization of unified chaotic systems is presented and numerical simulation shows its feasibility.  
Keywords:  projective synchronization      adaptive control      unified chaotic system       secure communication
  
Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  02.60.Cb (Numerical simulation; solution of equations)  
  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Vx (Communication using chaos)  

Cite this article: 

Hu Man-Feng(胡满峰) and Xu Zhen-Yuan(徐振源 ) Adaptive projective synchronization of unified chaotic systems and its application to secure communication 2007 Chinese Physics 16 3231

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