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Review on chaotic dynamics of memristive neuron and neural network

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Abstract

The study of dynamics on artificial neurons and neuronal networks is of great significance to understand brain functions and develop neuromorphic systems. Recently, memristive neuron and neural network models offer great potential in the investigation of neurodynamics. Many chaotic dynamics including chaos, transient chaos, hyperchaos, coexisting attractors, multistability, and extreme multistability have been researched based on the memristive neurons and neural networks. In this review, we firstly introduce the basic definition of chaotic dynamics and review several traditional artificial neuron and neural network models. Then we categorize memristive neuron and neural network models with different biological function mechanisms into five types: memristive autapse neuron, memristive synapse-coupled bi-neuron network, memristive synaptic weight neural network, neuron under electromagnetic radiation, and neural network under electromagnetic radiation. The modeling mechanisms of each type are explained and described in detail. Furthermore, the pioneer works and some recent important papers related to those types are introduced. Finally, some open problems in this field are presented to further explore future work.

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Data Availability Statement

All data generated or analyzed during this study are included in this published article (and its supplementary information files).

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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 Natural Science Foundation of Hunan Province (2020JJ4218) Foundation of China (61971185), The Open Fund Project of Key Laboratory in Hunan Universities (18K010).

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

    Hairong Lin, Chunhua Wang, Quanli Deng, Cong Xu, Zekun Deng & Chao Zhou

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  1. Hairong Lin
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  2. Chunhua Wang
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  3. Quanli Deng
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  4. Cong Xu
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  5. Zekun Deng
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Correspondence to Chunhua Wang.

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Lin, H., Wang, C., Deng, Q. et al. Review on chaotic dynamics of memristive neuron and neural network. Nonlinear Dyn 106, 959–973 (2021). https://doi.org/10.1007/s11071-021-06853-x

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