IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v189y2024ip2s096007792401275x.html

A novel neural networks with memristor coupled memcapacitor-synapse neuron

Author

Listed:
  • Shi, Fan
  • Cao, Yinghong
  • Banerjee, Santo
  • Ahmad, Adil M.
  • Mou, Jun

Abstract

With the increased understanding of information transfer and interactions between neurons, there is an urgent need for a memory element with bionic properties to probe the activity between neurons. Based on this, this paper constructs a novel Memristor Coupled Memcapacitor Synapse Hopfield Neural (MCMSHN) network by creating an element with a memristor coupled memcapacitor and applying it to a Hopfield neural network to simulate synaptic function. Firstly, the memory properties possessed by the Memristor Coupled Memcapacitor Synapse (MCMS) are demonstrated. Secondly, the complex dynamic behavior of MCMSHN is explored by means of numerical simulations to demonstrate its bionic properties. And the study focuses on the dynamical behavior of the synaptic weights and the coupling strengths, including multiple bifurcation behaviors, bionic discharges, and extreme multistability features of the MCMSHN. Finally, the attractors generated by the system are realized by Digital Signal Processing (DSP) techniques. The feasibility of MCMS for estimating synaptic activity is verified from multiple perspectives, providing insights into the complex working mechanisms of the brain.

Suggested Citation

  • Shi, Fan & Cao, Yinghong & Banerjee, Santo & Ahmad, Adil M. & Mou, Jun, 2024. "A novel neural networks with memristor coupled memcapacitor-synapse neuron," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p2:s096007792401275x
    DOI: 10.1016/j.chaos.2024.115723
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792401275X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115723?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Bao, B.C. & Wu, P.Y. & Bao, H. & Xu, Q. & Chen, M., 2018. "Numerical and experimental confirmations of quasi-periodic behavior and chaotic bursting in third-order autonomous memristive oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 161-170.
    2. Zhang, Shaohua & Wang, Cong & Zhang, Hongli & Lin, Hairong, 2024. "Collective dynamics of adaptive memristor synapse-cascaded neural networks based on energy flow," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    3. Fossi, Jules Tagne & Njitacke, Zeric Tabekoueng & Tankeu, William Nguimeya & Mendimi, Joseph Marie & Awrejcewicz, Jan & Atangana, Jacques, 2023. "Phase synchronization and coexisting attractors in a model of three different neurons coupled via hybrid synapses," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    4. Ma, Tao & Mou, Jun & Banerjee, Santo & Cao, Yinghong, 2023. "Analysis of the functional behavior of fractional-order discrete neuron under electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    5. Yu, Xihong & Bao, Han & Chen, Mo & Bao, Bocheng, 2023. "Energy balance via memristor synapse in Morris-Lecar two-neuron network with FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    6. Chen, M. & Feng, Y. & Bao, H. & Bao, B.C. & Yu, Y.J. & Wu, H.G. & Xu, Q., 2018. "State variable mapping method for studying initial-dependent dynamics in memristive hyper-jerk system with line equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 313-324.
    7. Han, Zhitang & Sun, Bo & Banerjee, Santo & Mou, Jun, 2024. "Biological neuron modeling based on bifunctional memristor and its application in secure communication," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    8. 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.
    9. Yu, Fei & Shen, Hui & Zhang, Zinan & Huang, Yuanyuan & Cai, Shuo & Du, Sichun, 2021. "Dynamics analysis, hardware implementation and engineering applications of novel multi-style attractors in a neural network under electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    10. Cao, Hongli & Wang, Yu & Banerjee, Santo & Cao, Yinghong & Mou, Jun, 2024. "A discrete Chialvo–Rulkov neuron network coupled with a novel memristor model: Design, Dynamical analysis, DSP implementation and its application," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ding, Dawei & Liu, Xiang & Zhang, Hongwei & Yang, Zongli & Jin, Fan & Chen, Siqi & Zhou, Haitao, 2025. "Reversible image encryption and hiding algorithm based on fractional-order memristive Hopfield neural network," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ma, Tao & Mou, Jun & Chen, Wanzhong, 2025. "Dynamics and implementation of a functional neuron model with hyperchaotic behavior under electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    2. 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).
    3. Bashkirtseva, I. & Ryashko, L., 2024. "Dynamical variability, order-chaos transitions, and bursting Canards in the memristive Rulkov neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    4. Zizhao Xie & Jingru Sun & Yiping Tang & Xin Tang & Oluyomi Simpson & Yichuang Sun, 2023. "A K-SVD Based Compressive Sensing Method for Visual Chaotic Image Encryption," Mathematics, MDPI, vol. 11(7), pages 1-20, March.
    5. Wang, Ning & Cui, Mengkai & Yu, Xihong & Shan, Yufan & Xu, Quan, 2023. "Generating multi-folded hidden Chua’s attractors: Two-case study," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Ma, Jun & Guo, Yitong, 2024. "Model approach of electromechanical arm interacted with neural circuit, a minireview," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    7. Xu, Quan & Wang, Kai & Feng, Chengtao & Fan, Weiwei & Wang, Ning, 2024. "Dynamical effects of low-frequency and high-frequency current stimuli in a memristive Morris–Lecar neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    8. Wang, Chunhua & Luo, Dingwei & Deng, Quanli & Yang, Gang, 2024. "Dynamics analysis and FPGA implementation of discrete memristive cellular neural network with heterogeneous activation functions," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    9. Tang, Zhouqing & Wang, Huihai & Zhu, Wanting & Sun, Kehui, 2025. "Dynamics and synchronization of fractional-order Rulkov neuron coupled with discrete fracmemristor," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    10. Lei, Zhao & Guo, Yitong & Ma, Jun & Wang, Chunni, 2025. "Modeling of a memristor-coupled neural circuit with piezoelectric channel," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    11. Zhao, Mingjie & Li, Lixiang & Yuan, Zheng, 2024. "A multi-image encryption scheme based on a new n-dimensional chaotic model and eight-base DNA," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    12. Shi, Fan & Cao, Yinghong & Xu, Xianying & Banerjee, Santo & Mou, Jun, 2026. "Boosting neural Chaos via memcapacitive electromagnetic radiation in a unidirectional ring neural network," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    13. 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).
    14. Ma, Tao & Mou, Jun & Chen, Wanzhong, 2025. "Enriched dynamical behavior of a novel locally active memristor-driven neuron map," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    15. Wu, H.G. & Ye, Y. & Bao, B.C. & Chen, M. & Xu, Q., 2019. "Memristor initial boosting behaviors in a two-memristor-based hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 178-185.
    16. Lin, Y. & Liu, W.B. & Bao, H. & Shen, Q., 2020. "Bifurcation mechanism of periodic bursting in a simple three-element-based memristive circuit with fast-slow effect," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    17. Mo Chen & Yang Feng & Han Bao & Bocheng Bao & Huagan Wu & Quan Xu, 2019. "Hybrid State Variable Incremental Integral for Reconstructing Extreme Multistability in Memristive Jerk System with Cubic Nonlinearity," Complexity, Hindawi, vol. 2019, pages 1-16, June.
    18. Fernando E. Serrano & Viet-Thanh Pham & Giuseppe Grassi, 2025. "Dynamics and Robust Synchronization of an Oscillator With Cubic and Signum Terms," Complexity, John Wiley & Sons, vol. 2025(1).
    19. Yu, Fei & Kong, Xinxin & Yao, Wei & Zhang, Jin & Cai, Shuo & Lin, Hairong & Jin, Jie, 2024. "Dynamics analysis, synchronization and FPGA implementation of multiscroll Hopfield neural networks with non-polynomial memristor," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    20. Ji, Junhong & Min, Fuhong & Kang, Yehao & Li, Jiasui, 2025. "Harmonic components dynamics of symmetric coexisting attractors and pitchfork bifurcation in memristive Hopfield neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:189:y:2024:i:p2:s096007792401275x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.