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Review on memristor application in neural circuit and network

Author

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  • Yang, Feifei
  • Ma, Jun
  • Wu, Fuqiang

Abstract

Memristor is a nonlinear electronic component with memory properties, it is widely used in a variety of nonlinear circuits for extensive adaptive control and model description of neural activities. The nonlinear dynamic characteristics of the complex systems can be enhanced by adding memristive terms, which account for the high order nonlinearity in a memristor. For example, involvement of one or two memristors into branch circuits of nonlinear circuits can regulate the channel currents across capacitive and inductive components, and then the energy proportion is changed between these electronic components as well. A memristive neuron model can be obtained by introducing a memristor into the neural circuit, and the memristive current has important impact on the mode selection and stability in the neural circuit and neural activities. Based on these memristive neuron models, field coupling can be activated to control the collective behaviors of neurons even when synaptic coupling between neurons is non-valuable. Magnetic flux-controlled memristor (MFCM) and charge-controlled memristor (CCM) keep the field energy in two different forms, and they can receive or capture external field energy by regulating the currents along the memristive channels. That is, the energy flow via the memristor can control the neural circuits and nonlinear circuits coupled by memristors, and the memristive systems become controllable in adaptive way. Therefore, clarification of the energy characteristic for each electric component is crucial for setting and control of a memristive circuit and memristive neural network. Indeed, discovering the relation between a memristive oscillator and equivalent maps is a challenge and thus the reliability of memristive maps can be confirmed and explained from physical aspect, which realistic dynamical systems have distinct energy description. In this review, the basic property and its application of memristor in computational neuroscience are discussed and clarified from the physical viewpoints, the energy function is defined and adaptive control law under energy flow is proposed, field coupling between memristive systems, electromagnetic induction and radiation in cardiac tissue, application of memristive systems in the image encryption are summarized to provide possible guidance for implement of memristive systems.

Suggested Citation

  • Yang, Feifei & Ma, Jun & Wu, Fuqiang, 2024. "Review on memristor application in neural circuit and network," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
  • Handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009135
    DOI: 10.1016/j.chaos.2024.115361
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    References listed on IDEAS

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    1. Bao, B.C. & Bao, H. & Wang, N. & Chen, M. & Xu, Q., 2017. "Hidden extreme multistability in memristive hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 102-111.
    2. Karakaya, Barış & Gülten, Arif & Frasca, Mattia, 2019. "A true random bit generator based on a memristive chaotic circuit: Analysis, design and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 143-149.
    3. Ren, Lujie & Mou, Jun & Banerjee, Santo & Zhang, Yushu, 2023. "A hyperchaotic map with a new discrete memristor model: Design, dynamical analysis, implementation and application," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Wu, Fuqiang & Wang, Chunni & Jin, Wuyin & Ma, Jun, 2017. "Dynamical responses in a new neuron model subjected to electromagnetic induction and phase noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 81-88.
    5. Wang, Zhen & Parastesh, Fatemeh & Rajagopal, Karthikeyan & Hamarash, Ibrahim Ismael & Hussain, Iqtadar, 2020. "Delay-induced synchronization in two coupled chaotic memristive Hopfield neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    6. 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.
    7. Deng, Quanli & Wang, Chunhua & Lin, Hairong, 2024. "Memristive Hopfield neural network dynamics with heterogeneous activation functions and its application," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    8. Xu, Ying & Ren, Guodong & Ma, Jun, 2023. "Patterns stability in cardiac tissue under spatial electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    9. Feifei Yang & Xikui Hu & Guodong Ren & Jun Ma, 2023. "Synchronization and patterns in a memristive network in noisy electric field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(6), pages 1-14, June.
    10. Xu, Quan & Wang, Yiteng & Chen, Bei & Li, Ze & Wang, Ning, 2023. "Firing pattern in a memristive Hodgkin–Huxley circuit: Numerical simulation and analog circuit validation," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    11. Hairong Lin & Chunhua Wang & Fei Yu & Jingru Sun & Sichun Du & Zekun Deng & Quanli Deng, 2023. "A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks," Mathematics, MDPI, vol. 11(6), pages 1-18, March.
    12. Xu, Quan & Lin, Yi & Bao, Bocheng & Chen, Mo, 2016. "Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 186-200.
    13. Wu, Fuqiang & Hu, Xikui & Ma, Jun, 2022. "Estimation of the effect of magnetic field on a memristive neuron," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    14. Vijayakumar, M.D. & Natiq, Hayder & Tametang Meli, Maxim Idriss & Leutcho, Gervais Dolvis & Tabekoueng Njitacke, Zeric, 2022. "Hamiltonian energy computation of a novel memristive mega-stable oscillator (MMO) with dissipative, conservative and repelled dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    15. Xu, Quan & Wang, Yiteng & Wu, Huagan & Chen, Mo & Chen, Bei, 2024. "Periodic and chaotic spiking behaviors in a simplified memristive Hodgkin-Huxley circuit," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    16. Lai, Qiang & Yang, Liang & Liu, Yuan, 2022. "Design and realization of discrete memristive hyperchaotic map with application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    17. Jia, Junen & Wang, Chunni & Zhang, Xiaofeng & Zhu, Zhigang, 2024. "Energy and self-adaption in a memristive map neuron," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    18. Ma, Xujiong & Mou, Jun & Xiong, Li & Banerjee, Santo & Cao, Yinghong & Wang, Jieyang, 2021. "A novel chaotic circuit with coexistence of multiple attractors and state transition based on two memristors," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
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    Cited by:

    1. Yang, Feifei & Song, Xinlin & Yu, Zhenhua, 2024. "Dynamics of a functional neuron model with double membranes," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).

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