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Synchronization of discrete-time hyperchaotic systems: An application in communications

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  • Aguilar-Bustos, A.Y.
  • Cruz-Hernández, C.

Abstract

In this paper, the synchronization problem of discrete-time complex dynamics is presented. In particular, we use the model-matching approach from nonlinear control theory to synchronize two unidirectionally coupled discrete-time hyperchaotic systems. A potential application to secure/private communication of confidential information is also given. By using different (hyperchaotic) encryption schemes with a single and two transmission channels, we show that output synchronization of hyperchaotic maps is indeed suitable for encryption, transmission, and decryption of information.

Suggested Citation

  • Aguilar-Bustos, A.Y. & Cruz-Hernández, C., 2009. "Synchronization of discrete-time hyperchaotic systems: An application in communications," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1301-1310.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:3:p:1301-1310
    DOI: 10.1016/j.chaos.2008.05.012
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    References listed on IDEAS

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    1. Gao, Tiegang & Chen, Zengqiang & Yuan, Zhuzhi & Yu, Dongchuan, 2007. "Adaptive synchronization of a new hyperchaotic system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 922-928.
    2. Ge, Zheng-Ming & Chen, Yen-Sheng, 2007. "Synchronization of mutual coupled chaotic systems via partial stability theory," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 787-794.
    3. Zhang, Bai & Chen, Maoyin & Zhou, Donghua, 2006. "Chaotic secure communication based on particle filtering," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1273-1280.
    4. Chen, Maoyin & Zhou, Donghua & Shang, Yun, 2005. "A sliding mode observer based secure communication scheme," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 573-578.
    5. Yan, Zhenya & Yu, Pei, 2008. "Hyperchaos synchronization and control on a new hyperchaotic attractor," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 333-345.
    6. Hyun, Chang-Ho & Kim, Jae-Hun & Kim, Euntai & Park, Mignon, 2006. "Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 930-940.
    7. Yang, Yu & Ma, Xi-Kui & Zhang, Hao, 2006. "Synchronization and parameter identification of high-dimensional discrete chaotic systems via parametric adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 244-251.
    8. Yan, Jun-Juh & Yang, Yi-Sung & Chiang, Tsung-Ying & Chen, Ching-Yuan, 2007. "Robust synchronization of unified chaotic systems via sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 947-954.
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    Cited by:

    1. Tutueva, Aleksandra V. & Moysis, Lazaros & Rybin, Vyacheslav G. & Kopets, Ekaterina E. & Volos, Christos & Butusov, Denis N., 2022. "Fast synchronization of symmetric Hénon maps using adaptive symmetry control," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. López-Gutiérrez, R.M. & Posadas-Castillo, C. & López-Mancilla, D. & Cruz-Hernández, C., 2009. "Communicating via robust synchronization of chaotic lasers," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 277-285.

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