IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v188y2024ics0960077924011263.html

Transition and bifurcation mechanism of firing activities in memristor synapse-coupled Hindmarsh–Rose bi-neuron model

Author

Listed:
  • Chen, Mo
  • Zhang, Yuchen
  • Zhang, Yunzhen
  • Xu, Quan
  • Wu, Huagan

Abstract

Memristor, especially the locally active one, is widely used in emulating the synapse-inspired activities in neural networks, in which the connection between memristor properties and neuronal electrical activities requires further investigation. In this paper, a bi-neuron model is constructed by bi-directionally connecting a locally active memristor between the membrane potentials of two deterministic 3D HR neuron models. Complex spiking/bursting firing activities and their transitions are disclosed under different memristor control parameters. The bifurcation mechanisms of the revealed synchronous and asynchronous firing activities are explored inside each individual neuron by taking the externally input state variables as modulation parameters. These results demonstrate the crucial effect of the locally active memristor synapse on firing activities of its coupled network. FPGA-based digital circuit experiment is finally performed to verify the numerical results. This research is beneficial to understanding, control and application of firing activities in neural networks.

Suggested Citation

  • Chen, Mo & Zhang, Yuchen & Zhang, Yunzhen & Xu, Quan & Wu, Huagan, 2024. "Transition and bifurcation mechanism of firing activities in memristor synapse-coupled Hindmarsh–Rose bi-neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924011263
    DOI: 10.1016/j.chaos.2024.115574
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924011263
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115574?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. Wang, Xianjun & Gu, Huaguang & Jia, Yanbing, 2023. "Nonlinear mechanism for enhanced and reduced bursting activity respectively induced by fast and slow excitatory autapse," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Torrealdea, Francisco J. & Sarasola, Cecilia & d’Anjou, Alicia, 2009. "Energy consumption and information transmission in model neurons," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 60-68.
    3. Akhmet, Marat & Başkan, Kağan & Yeşil, Cihan, 2024. "Markovian noise-induced delta synchronization approach for Hindmarsh–Rose model," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    4. Andreev, Andrey V. & Maksimenko, Vladimir A. & Pisarchik, Alexander N. & Hramov, Alexander E., 2021. "Synchronization of interacted spiking neuronal networks with inhibitory coupling," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    5. Hu, Jingting & Bao, Han & Xu, Quan & Chen, Mo & Bao, Bocheng, 2024. "Synchronization generations and transitions in two map-based neurons coupled with locally active memristor," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    6. Hongwei Tan & Quanzheng Tao & Ishan Pande & Sayani Majumdar & Fu Liu & Yifan Zhou & Per O. Å. Persson & Johanna Rosen & Sebastiaan van Dijken, 2020. "Tactile sensory coding and learning with bio-inspired optoelectronic spiking afferent nerves," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    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).
    2. Wang, Yanfeng & Su, Pengke & Wang, Zicheng & Sun, Junwei, 2025. "Dynamic analysis of high dimensional HNN with logistic-based memristors and application in military image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).

    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. Kovalchukov, Aleksandr & Fradkov, Alexander, 2025. "On adaptive parameters identification of Hindmarsh–Rose neuron models," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
    2. Irina A. Bashkirtseva & Alexander N. Pisarchik & Lev B. Ryashko, 2023. "Coexisting Attractors and Multistate Noise-Induced Intermittency in a Cycle Ring of Rulkov Neurons," Mathematics, MDPI, vol. 11(3), pages 1-12, January.
    3. Ji, Yansu & Mao, Xiaochen, 2024. "Fast and slow dynamical behaviors of delayed-coupled thermosensitive neurons under electromagnetic induction," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    4. Giovanni Maria Matrone & Eveline R. W. Doremaele & Abhijith Surendran & Zachary Laswick & Sophie Griggs & Gang Ye & Iain McCulloch & Francesca Santoro & Jonathan Rivnay & Yoeri Burgt, 2024. "A modular organic neuromorphic spiking circuit for retina-inspired sensory coding and neurotransmitter-mediated neural pathways," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    5. Zhiyuan Li & Zhongshao Li & Wei Tang & Jiaping Yao & Zhipeng Dou & Junjie Gong & Yongfei Li & Beining Zhang & Yunxiao Dong & Jian Xia & Lin Sun & Peng Jiang & Xun Cao & Rui Yang & Xiangshui Miao & Ron, 2024. "Crossmodal sensory neurons based on high-performance flexible memristors for human-machine in-sensor computing system," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    6. Zhongfang Zhang & Xiaolong Zhao & Xumeng Zhang & Xiaohu Hou & Xiaolan Ma & Shuangzhu Tang & Ying Zhang & Guangwei Xu & Qi Liu & Shibing Long, 2022. "In-sensor reservoir computing system for latent fingerprint recognition with deep ultraviolet photo-synapses and memristor array," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    7. Pavlo Makushko & Jin Ge & Gilbert Santiago Cañón Bermúdez & Oleksii Volkov & Yevhen Zabila & Stanislav Avdoshenko & Rico Illing & Leonid Ionov & Martin Kaltenbrunner & Jürgen Fassbender & Rui Xu & Den, 2025. "Scalable magnetoreceptive e-skin for energy-efficient high-resolution interaction towards undisturbed extended reality," Nature Communications, Nature, vol. 16(1), pages 1-11, December.
    8. Anzo-Hernández, Andrés, 2026. "Dynamics of a Hindmarsh–Rose neuron with dual memristive inputs: Electromagnetic flux and autapse feedback," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    9. Chen, Chengjie & Gao, Bin & Yu, Yang & Zhao, Shuang & Yang, Yan & Chen, Lianyu & Bao, Han, 2025. "Synchronously adjustable offset boosting and amplitude control in memristive neural network with hardware implementation," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    10. Othman Abdullah Almatroud & Viet-Thanh Pham & Karthikeyan Rajagopal, 2024. "A Rectified Linear Unit-Based Memristor-Enhanced Morris–Lecar Neuron Model," Mathematics, MDPI, vol. 12(19), pages 1-10, September.
    11. Jia, Yanbing & Gu, Huaguang & Wang, Xianjun & Li, Yuye, 2025. "Fast excitatory modulations paradoxically reduce spiking activity in the network and single neuron with autapse: complex bifurcations and unstable limit cycles," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    12. Wang, Ertong & Hu, Bin & Guan, Zhi-Hong, 2025. "Chaotic dynamics and synchronization of multi-region neural network based on locally active memristor," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    13. Hongwei Tan & Sebastiaan van Dijken, 2023. "Dynamic machine vision with retinomorphic photomemristor-reservoir computing," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    14. Xu, Quan & Wang, Kai & Chen, Mo & Parastesh, Fatemeh & Wang, Ning, 2024. "Bursting and spiking activities in a Wilson neuron circuit with memristive sodium and potassium ion channels," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    15. Ke Yang & Yanghao Wang & Pek Jun Tiw & Chaoming Wang & Xiaolong Zou & Rui Yuan & Chang Liu & Ge Li & Chen Ge & Si Wu & Teng Zhang & Ru Huang & Yuchao Yang, 2024. "High-order sensory processing nanocircuit based on coupled VO2 oscillators," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    16. Zhang, Jianlin & Bao, Han & Gu, Jinxiang & Chen, Mo & Bao, Bocheng, 2024. "Multistability and synchronicity of memristor coupled adaptive synaptic neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    17. Kapustnikov, Anton A. & Sysoev, Ilya V. & Sysoeva, Marina V., 2025. "Network motifs in talamocortical system model responsible for delta-rhythm generation," Chaos, Solitons & Fractals, Elsevier, vol. 200(P3).
    18. Fakun Wang & Fangchen Hu & Mingjin Dai & Song Zhu & Fangyuan Sun & Ruihuan Duan & Chongwu Wang & Jiayue Han & Wenjie Deng & Wenduo Chen & Ming Ye & Song Han & Bo Qiang & Yuhao Jin & Yunda Chua & Nan C, 2023. "A two-dimensional mid-infrared optoelectronic retina enabling simultaneous perception and encoding," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    19. Mina Lee & Michael Sotzing & Jue Wang & Alex Chortos, 2025. "Hybrid 3D printing of bio-inspired artificial slowly adapting type II afferents," Nature Communications, Nature, vol. 16(1), pages 1-11, December.
    20. Jidong Li & Wei Zhao & Chenwei Fu & Zhenpeng Zhai & Pengfei Xu & Xinyuan Diao & Wanlin Guo & Jun Yin, 2025. "An ion-electronic hybrid artificial neuron with a widely tunable frequency," Nature Communications, Nature, vol. 16(1), pages 1-8, December.

    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:188:y:2024:i:c:s0960077924011263. 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.