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Chin. Phys. B, 2011, Vol. 20(2): 020507    DOI: 10.1088/1674-1056/20/2/020507
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Synchronization of spatiotemporal chaotic systems and application to secure communication of digital image

Wang Xing-Yuan(王兴元), Zhang Na(张娜),Ren Xiao-Li(任小丽),and Zhang Yong-Lei(张永雷)
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
Abstract  Coupled map lattices (CMLs) are taken as examples to study the synchronization of spatiotemporal chaotic systems. In this paper, we use the nonlinear coupled method to implement the synchronization of two coupled map lattices. Through the appropriate separation of the linear term from the nonlinear term of the spatiotemporal chaotic system, we set the nonlinear term as the coupling function and then we can achieve the synchronization of two coupled map lattices. After that, we implement the secure communication of digital image using this synchronization method. Then, the discrete characteristics of the nonlinear coupling spatiotemporal chaos are applied to the discrete pixel of the digital image. After the synchronization of both the communication parties, the receiver can decrypt the original image. Numerical simulations show the effectiveness and the feasibility of the proposed program.
Keywords:  coupled map lattice      projective synchronization      digital image      secure communication  
Received:  11 August 2010      Revised:  03 October 2010      Accepted manuscript online: 
PACS:  05.45.Jn (High-dimensional chaos)  
  05.45.Xt (Synchronization; coupled oscillators)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152), the Doctoral Program Foundation of Institution of Higher Education of China (Grant No. 20070141014), and the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165).

Cite this article: 

Wang Xing-Yuan(王兴元), Zhang Na(张娜),Ren Xiao-Li(任小丽),and Zhang Yong-Lei(张永雷) Synchronization of spatiotemporal chaotic systems and application to secure communication of digital image 2011 Chin. Phys. B 20 020507

[1] Kaneko K 1985 Prog. Theor. Phys. 74 1033
[2] Hu G and Yang J Z 1997 Phys. Rev. E 56 2738
[3] Nekorkin V I and Verlarde M G 1997 Phys. Lett. A 236 505
[4] Xun H Y and Xiu M S 2002 Chaos, Solitons and Fractals 14 1077
[5] Yue J and Shi Y Y 2003 Chaos, Solitons and Fractals 17 967
[6] Wang M S and Hou Z H 2006 Chin. Phys. 15 2553
[7] Emura T 2006 Phys. Lett. A 349 306
[8] Zhang H G 2007 Acta Phys. Sin. 56 3796 (in Chinese)
[9] Yue L J and Shen K 2005 Acta Phys. Sin. 54 5671 (in Chinese)
[10] Zhang H G, Ma D Z and Wang Z S 2010 Acta Phys. Sin. 59 147 (in Chinese)
[11] Alexander A and Uzrich P 2008 Phys. Rev. E 77 016201
[12] Zhang H G 2006 Acta Phys. Sin. 55 2687 (in Chinese)
[13] Lü L and Li G 2008 Acta Phys. Sin. 57 7517 (in Chinese)
[14] Chen G and Lai D 1998 Int. J. Bifurc. Chaos 8 1585
[15] Fuh C C and Tsai H H 2002 Chaos, Solitons and Fractals 13 285
[16] Li P and Li Z 2006 Phys. Lett. A 349 467
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