IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v184y2024ics0960077924006088.html
   My bibliography  Save this article

A novel memristive synapse-coupled ring neural network with countless attractors and its application

Author

Listed:
  • Zhang, Sen
  • Li, Yongxin
  • Lu, Daorong
  • Li, Chunbiao

Abstract

This paper presents a novel memristive synapse-coupled ring neural network (MSCRNN) through introducing a nonvolatile memristor into a three-neuron Hopfield neural network connected by a unidirectional ring topology. Complex dynamics relying on control parameters and initial states is thoroughly explored using numerical analysis techniques. Numerical analyses show that the MSCRNN not only exhibits bistability, tristability, but also in particular evolves an intriguing phenomenon known as homogeneous multistability, characterized by the emergence of an infinite number of homogeneous coexisting attractors triggered by the memristor initial states. In addition, a hardware test platform based on the CH32 microcontroller is built to experimentally validate these numerical findings. Finally, a new pseudorandom number generator is developed taking advantage of memristor initial-regulated chaotic sequences derived from the MSCRNN. Performance analysis outcomes indicate that these chaotic sequences possess the capability to generate pseudorandom numbers demonstrating exceptional randomness, rendering them highly advantageous for utilization in various chaos-based engineering applications.

Suggested Citation

  • Zhang, Sen & Li, Yongxin & Lu, Daorong & Li, Chunbiao, 2024. "A novel memristive synapse-coupled ring neural network with countless attractors and its application," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924006088
    DOI: 10.1016/j.chaos.2024.115056
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924006088
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115056?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Dong, Yujiao & Yang, Shuting & Liang, Yan & Wang, Guangyi, 2022. "Neuromorphic dynamics near the edge of chaos in memristive neurons," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Suhas Kumar & John Paul Strachan & R. Stanley Williams, 2017. "Chaotic dynamics in nanoscale NbO2 Mott memristors for analogue computing," Nature, Nature, vol. 548(7667), pages 318-321, August.
    3. 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).
    4. Ding, Shoukui & Wang, Ning & Bao, Han & Chen, Bei & Wu, Huagan & Xu, Quan, 2023. "Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    Full references (including those not matched with items on IDEAS)

    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. 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).
    2. 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).
    3. Ying, Jiajie & Min, Fuhong & Wang, Guangyi, 2023. "Neuromorphic behaviors of VO2 memristor-based neurons," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    4. Huang, Keyu & Li, Chunbiao & Cen, Xiaoliang & Chen, Guanrong, 2024. "Constructing chaotic oscillators with memory components," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    5. Fanfan Li & Dingwei Li & Chuanqing Wang & Guolei Liu & Rui Wang & Huihui Ren & Yingjie Tang & Yan Wang & Yitong Chen & Kun Liang & Qi Huang & Mohamad Sawan & Min Qiu & Hong Wang & Bowen Zhu, 2024. "An artificial visual neuron with multiplexed rate and time-to-first-spike coding," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    6. 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.
    7. Dong, Yujiao & Yang, Shuting & Liang, Yan & Wang, Guangyi, 2022. "Neuromorphic dynamics near the edge of chaos in memristive neurons," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    8. Li, Fangyuan & Chen, Zhuguan & Bao, Han & Bai, Lianfa & Bao, Bocheng, 2024. "Chaos and bursting patterns in two-neuron Hopfield neural network and analog implementation," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    9. Serrano, S. & Barrio, R. & Lozano, Á. & Mayora-Cebollero, A. & Vigara, R., 2024. "Coupling of neurons favors the bursting behavior and the predominance of the tripod gait," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    10. 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).
    11. Hakseung Rhee & Gwangmin Kim & Hanchan Song & Woojoon Park & Do Hoon Kim & Jae Hyun In & Younghyun Lee & Kyung Min Kim, 2023. "Probabilistic computing with NbOx metal-insulator transition-based self-oscillatory pbit," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    12. Fei Yu & Wuxiong Zhang & Xiaoli Xiao & Wei Yao & Shuo Cai & Jin Zhang & Chunhua Wang & Yi Li, 2023. "Dynamic Analysis and FPGA Implementation of a New, Simple 5D Memristive Hyperchaotic Sprott-C System," Mathematics, MDPI, vol. 11(3), pages 1-15, January.
    13. 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).
    14. Panin, Gennady N., 2021. "Optoelectronic dynamic memristor systems based on two-dimensional crystals," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    15. Qian Zhang & Yulong Wang & Cameron Nickle & Ziyu Zhang & Andrea Leoncini & Dong-Chen Qi & Kai Sotthewes & Alessandro Borrini & Harold J. W. Zandvliet & Enrique Barco & Damien Thompson & Christian A. N, 2024. "Molecular switching by proton-coupled electron transport drives giant negative differential resistance," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    16. Wan, Qiuzhen & Li, Fei & Chen, Simiao & Yang, Qiao, 2023. "Symmetric multi-scroll attractors in magnetized Hopfield neural network under pulse controlled memristor and pulse current stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    17. Chen, Xiongjian & Wang, Ning & Wang, Yiteng & Wu, Huagan & Xu, Quan, 2023. "Memristor initial-offset boosting and its bifurcation mechanism in a memristive FitzHugh-Nagumo neuron model with hidden dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    18. 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).
    19. Alessandra Milloch & Ignacio Figueruelo-Campanero & Wei-Fan Hsu & Selene Mor & Simon Mellaerts & Francesco Maccherozzi & Larissa S. I. Veiga & Sarnjeet S. Dhesi & Mauro Spera & Jin Won Seo & Jean-Pier, 2024. "Mott resistive switching initiated by topological defects," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    20. Zhang, Jianlin & Bao, Han & Yu, Xihong & Chen, Bei, 2024. "Heterogeneous coexistence of extremely many attractors in adaptive synapse neuron considering memristive EMI," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

    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:184:y:2024:i:c:s0960077924006088. 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.