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Estimating parameters of chaotic systems under noise-induced synchronization

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  • Wu, Xiaogang
  • Wang, Zuxi

Abstract

Kim et al. introduced in 2002 [Kim CM, Rim S, Kye WH. Sequential synchronization of chaotic systems with an application to communication. Phys Rev Lett 2002;88:014103] a hierarchically structured communication scheme based on sequential synchronization, a modification of noise-induced synchronization (NIS). We propose in this paper an approach that can estimate the parameters of chaotic systems under NIS. In this approach, a dimensionally-expanded parameter estimating system is first constructed according to the original chaotic system. By feeding chaotic transmitted signal and external driving signal, the parameter estimating system can be synchronized with the original chaotic system. Consequently, parameters would be estimated. Numerical simulation shows that this approach can estimate all the parameters of chaotic systems under two feeding modes, which implies the potential weakness of the chaotic communication scheme under NIS or sequential synchronization.

Suggested Citation

  • Wu, Xiaogang & Wang, Zuxi, 2009. "Estimating parameters of chaotic systems under noise-induced synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 689-696.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:689-696
    DOI: 10.1016/j.chaos.2007.01.074
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    1. 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.
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    Cited by:

    1. 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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    1. 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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