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Modeling of memristor-based chaotic systems using nonlinear Wiener adaptive filters based on backslash operator

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  • Zhao, Yibo
  • Jiang, Yi
  • Feng, Jiuchao
  • Wu, Lifu

Abstract

Memristor-based chaotic systems have complex dynamical behaviors, which are characterized as nonlinear and hysteresis characteristics. Modeling and identification of their nonlinear model is an important premise for analyzing the dynamical behavior of the memristor-based chaotic systems. This paper presents a novel nonlinear Wiener adaptive filtering identification approach to the memristor-based chaotic systems. The linear part of Wiener model consists of the linear transversal adaptive filters, the nonlinear part consists of nonlinear adaptive filters based on the backslash operator for the hysteresis characteristics of the memristor. The weight update algorithms for the linear and nonlinear adaptive filters are derived. Final computer simulation results show the effectiveness as well as fast convergence characteristics. Comparing with the adaptive nonlinear polynomial filters, the proposed nonlinear adaptive filters have less identification error.

Suggested Citation

  • Zhao, Yibo & Jiang, Yi & Feng, Jiuchao & Wu, Lifu, 2016. "Modeling of memristor-based chaotic systems using nonlinear Wiener adaptive filters based on backslash operator," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 12-16.
    • Handle: RePEc:eee:chsofr:v:87:y:2016:i:c:p:12-16
    DOI: 10.1016/j.chaos.2016.03.004
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    References listed on IDEAS

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    1. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
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    Cited by:

    1. Yuan, Fang & Xing, Guibin & Deng, Yue, 2023. "Flexible cascade and parallel operations of discrete memristor," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Li, Yin & Li, Fagang & Lyu, Shanxiang & Xu, Meng & Wang, Shiyuan, 2021. "Blind extraction of ECG signals based on similarity in the phase space," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    3. Hong-Min Li & Yan-Feng Yang & Yang Zhou & Chun-Lai Li & Kun Qian & Zhao-Yu Li & Jian-Rong Du, 2019. "Dynamics and Synchronization of a Memristor-Based Chaotic System with No Equilibrium," Complexity, Hindawi, vol. 2019, pages 1-11, October.

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