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Firing mechanism based on single memristive neuron and double memristive coupled neurons

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Abstract

Memristive neurons and memristive neural networks constructed based on memristors have important research significance for revealing the mystery of the brain. This paper proposes a compound hyperbolic tangent cubic nonlinear memristor, which has nonvolatile memory characteristics and local activity characteristics. In particular, the memristor also has three stable pinched hysteresis loops under different initial values. The memristor is applied to Fitzhugh–Nagumo neuron and Hindmarsh–Rose neuron to establish five different memristive neural models, and a series of firing dynamics analysis are carried out on them. At the same time, we not only discuss multiple firing patterns on a single memristive neuron and double memristive coupled neurons, but also compare which neuron and which coupled neural network the proposed memristor is more suitable for, which is a lack of comprehensive investigation in the published research. Furthermore, digital circuit experiment is performed on the FPGA development board to verify the firing mechanism of these memristive neural models, which has potential application value for some practical projects.

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Acknowledgements

This paper was supported by the Natural Science Foundation of Hunan Province under Grants 2022JJ30624 and 2022JJ10052, and by the Scientific Research Fund of Hunan Provincial Education Department under grant 21B0345, and by the National Natural Science Foundation of China under Grant 62172058, and by the Postgraduate Scientific Research Innovation Project of Hunan Province under Grant CX20200884, and by the Postgraduate Scientific Research Innovation project of Changsha University of Science and Technology under Grants CX2021SS72 and CX2021SS69.

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Authors and Affiliations

  1. School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, 410114, China

    Hui Shen, Fei Yu & Shuo Cai

  2. College of Computer Science and Electronic Engineering, Hunan University, Changsha, 410082, China

    Chunhua Wang & Jingru Sun

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  1. Hui Shen
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  2. Fei Yu
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Correspondence to Fei Yu.

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The authors declare that they have no conflict of interest. The authors have no relevant financial or nonfinancial interests to disclose. All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by [Hui Shen], [Fei Yu] and [Shou Cai]. The first draft of the manuscript was written by [Hui Shen] and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript. Datasets generated and/or analyzed during the current study may be obtained from the corresponding authors upon reasonable request.

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Shen, H., Yu, F., Wang, C. et al. Firing mechanism based on single memristive neuron and double memristive coupled neurons. Nonlinear Dyn 110, 3807–3822 (2022). https://doi.org/10.1007/s11071-022-07812-w

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