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Estimating parameters of chaotic systems synchronized by external driving signal

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  • Wu, Xiaogang
  • Wang, Zuxi

Abstract

Noise-induced synchronization (NIS) has evoked great research interests recently. Two uncoupled identical chaotic systems can achieve complete synchronization (CS) by feeding a common noise with appropriate intensity. Actually, NIS belongs to the category of external feedback control (EFC). The significance of applying EFC in secure communication lies in fact that the trajectory of chaotic systems is disturbed so strongly by external driving signal that phase space reconstruction attack fails. In this paper, however, we propose an approach that can accurately estimate the parameters of the chaotic systems synchronized by external driving signal through chaotic transmitted signal, driving signal and their derivatives. Numerical simulation indicates that this approach can estimate system parameters and external coupling strength under two driving modes in a very rapid manner, which implies that EFC is not superior to other methods in secure communication.

Suggested Citation

  • Wu, Xiaogang & Wang, Zuxi, 2007. "Estimating parameters of chaotic systems synchronized by external driving signal," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 588-594.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:588-594
    DOI: 10.1016/j.chaos.2006.01.051
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    Cited by:

    1. Wu, Xiaogang & Wang, Zuxi, 2009. "Estimating parameters of chaotic systems under noise-induced synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 689-696.
    2. Fedele, Giuseppe & D’Alfonso, Luigi & Pin, Gilberto & Parisini, Thomas, 2018. "Volterra’s kernels-based finite-time parameters estimation of the Chua system," Applied Mathematics and Computation, Elsevier, vol. 318(C), pages 121-130.

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