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Firing multistability in a locally active memristive neuron model

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Abstract

The theoretical, numerical and experimental demonstrations of firing dynamics in isolated neuron are of great significance for the understanding of neural function in human brain. In this paper, a new type of locally active and non-volatile memristor with three stable pinched hysteresis loops is presented. Then, a novel locally active memristive neuron model is established by using the locally active memristor as a connecting autapse, and both firing patterns and multistability in this neuronal system are investigated. We have confirmed that, on the one hand, the constructed neuron can generate multiple firing patterns like periodic bursting, periodic spiking, chaotic bursting, chaotic spiking, stochastic bursting, transient chaotic bursting and transient stochastic bursting. On the other hand, the phenomenon of firing multistability with coexisting four kinds of firing patterns can be observed via changing its initial states. It is worth noting that the proposed neuron exhibits such firing multistability previously unobserved in single neuron model. Finally, an electric neuron is designed and implemented, which is extremely useful for the practical scientific and engineering applications. The results captured from neuron hardware experiments match well with the theoretical and numerical simulation results.

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Acknowledgements

This work is supported by The Major Research Project of the National Natural Science Foundation of China (91964108), The National Natural Science Foundation of China (61971185), The Open Fund Project of Key Laboratory in Hunan Universities (18K010).

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Authors and Affiliations

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

    Hairong Lin, Chunhua Wang & Wei Yao

  2. School of Engineering and Computer Science, University of Hertfordshire, Hatfield, AL10 9AB, UK

    Yichuang Sun

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  1. Hairong Lin
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  2. Chunhua Wang
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Correspondence to Chunhua Wang.

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Lin, H., Wang, C., Sun, Y. et al. Firing multistability in a locally active memristive neuron model. Nonlinear Dyn 100, 3667–3683 (2020). https://doi.org/10.1007/s11071-020-05687-3

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