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A generic voltage-controlled discrete memristor model and its application in chaotic map

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  • Zhong, Huiyan
  • Li, Guodong
  • Xu, Xiangliang

Abstract

The discrete memristor has aroused increasing interest due to its application prospects. The theory of discrete memory resistors is gradually being refined. In this paper, the generic voltage-controlled discrete memristor model is derived from another perspective - the circuit perspective. And the Simulink model of the discrete memristor model was constructed to implement the simulation. To explore the adaptability of the model, nine discrete memristors are proposed and shown to meet the definition of the memristor. As an application, this paper proposes three discrete memristor-based maps, builds their Simulink model, and analyzes their dynamic behavior relying on the parameters and initials of the system and memristor through the bifurcation diagram, Lyapunov exponent (LE), and spectral entropy complexity. The numerical simulation results show that the three discrete memristor-based maps are better than the original ones in chaotic properties, such as sequence complexity, chaos range, and LE.

Suggested Citation

  • Zhong, Huiyan & Li, Guodong & Xu, Xiangliang, 2022. "A generic voltage-controlled discrete memristor model and its application in chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005999
    DOI: 10.1016/j.chaos.2022.112389
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    References listed on IDEAS

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    1. Xiang-Liang Xu & Guo-Dong Li & Wan-Ying Dai & Xiao-Ming Song, 2021. "Multi-Direction Chain And Grid Chaotic System Based On Julia Fractal," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(08), pages 1-20, December.
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    Cited by:

    1. Bao, Han & Rong, Kang & Chen, Mo & Zhang, Xi & Bao, Bocheng, 2023. "Multistability and synchronization of discrete maps via memristive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Xiang, Jianglian & Ren, Junwu & Tan, Manchun, 2022. "Stability analysis for memristor-based stochastic multi-layer neural networks with coupling disturbance," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    3. Lu, Yang & Gong, Mengxin & Gan, Zhihua & Chai, Xiuli & Cao, Lvchen & Wang, Binjie, 2023. "Exploiting one-dimensional improved Chebyshev chaotic system and partitioned diffusion based on the divide-and-conquer principle for 3D medical model encryption," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    4. Fan, Zhenyi & Zhang, Chenkai & Wang, Yiming & Du, Baoxiang, 2023. "Construction, dynamic analysis and DSP implementation of a novel 3D discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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