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Communicating via robust synchronization of chaotic lasers

Author

Listed:
  • López-Gutiérrez, R.M.
  • Posadas-Castillo, C.
  • López-Mancilla, D.
  • Cruz-Hernández, C.

Abstract

In this paper, the robust synchronization problem for coupled chaotic Nd:YAG lasers is addressed. We resort to complex systems theory to achieve chaos synchronization. Based on stability theory, it is shown that the state trajectories of the perturbed error synchronization are ultimately bounded, provided the unperturbed synchronization error system is exponentially stable, and some conditions on the bounds of the perturbation terms are satisfied. So that, encoding, transmission, and decoding in chaotic optical communications are presented. We analyze the transmission and recovery of encrypted information when parameter mismatches are considered. Computer simulations are provided to show the effectiveness of this robustness synchronization property, we present the encrypted transmission of image messages, and we show that, the transmitted image is faithfully recovered.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:277-285
    DOI: 10.1016/j.chaos.2008.11.019
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    References listed on IDEAS

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    1. 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.
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    4. Posadas-Castillo, C. & Cruz-Hernández, C. & López-Gutiérrez, R.M., 2009. "Experimental realization of synchronization in complex networks with Chua’s circuits like nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1963-1975.
    5. Hyun, Chang-Ho & Park, Chang-Woo & Kim, Jae-Hun & Park, Mignon, 2009. "Synchronization and secure communication of chaotic systems via robust adaptive high-gain fuzzy observer," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2200-2209.
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