中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20507-020507.doi: 10.1088/1674-1056/20/2/020507

• GENERAL • 上一篇    下一篇

Synchronization of spatiotemporal chaotic systems and application to secure communication of digital image

王兴元, 张娜, 任小丽, 张永雷   

  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
  • 收稿日期:2010-08-11 修回日期:2010-10-03 出版日期:2011-02-15 发布日期:2011-02-15
  • 基金资助:
    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).

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)   

  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China
  • Received:2010-08-11 Revised:2010-10-03 Online:2011-02-15 Published:2011-02-15
  • Supported by:
    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).

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摘要： 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.

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.

Key words: coupled map lattice, projective synchronization, digital image, secure communication

中图分类号:  (High-dimensional chaos)

  • 05.45.Jn
05.45.Xt (Synchronization; coupled oscillators)