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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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    3. Yang, Min & Dong, Chengwei & Pan, Hepeng, 2024. "Generating multi-directional hyperchaotic attractors: A novel multi-scroll system based on Julia fractal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(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).
    5. 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).
    6. Zhao, Qianhan & Bao, Han & Zhang, Xi & Wu, Huagan & Bao, Bocheng, 2024. "Complexity enhancement and grid basin of attraction in a locally active memristor-based multi-cavity map," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    7. Zhao, Zhigao & Chen, Fei & He, Xianghui & Lan, Pengfei & Chen, Diyi & Yin, Xiuxing & Yang, Jiandong, 2024. "A universal hydraulic-mechanical diagnostic framework based on feature extraction of abnormal on-field measurements: Application in micro pumped storage system," Applied Energy, Elsevier, vol. 357(C).

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