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Spatiotemporal dynamics of a modified FitzHugh–Nagumo neuronal network with time delays

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Abstract

Over the past decades, spatiotemporal dynamics has received considerable attention in many fields, such as biology, chemistry and neuroscience. This paper reveals the spiral wave dynamics in a two-dimensional modified FitzHugh–Nagumo neuronal network. The network is composed of interacting neurons with nearest-neighbor connections. Time delays are introduced into the couplings among neurons. Numerical simulations are performed and interesting and abundant spatiotemporal patterns are obtained, such as spiral waves. It is shown that the time delays can give rise to the generation, transition and modulation of the spiral waves. Moreover, external periodic excitations are applied to regulate the spiral waves and different types of waves are observed, such as target wave and traveling wave.

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Data availability

The data used to support the findings of the study are available from the corresponding author upon request.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 12172119 and 11872169, and Natural Science Foundation of Jiangsu Province of China under Grant No. BK20191295.

The authors thank the anonymous reviewers for helpful comments and suggestions that have helped to improve the presentation.

Funding

This work was supported by the National Natural Science Foundation of China under Grant Nos. 12172119 and 11872169 and Natural Science Foundation of Jiangsu Province of China under Grant No. BK20191295.

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  1. Department of Engineering Mechanics, College of Mechanics and Engineering Science, Hohai University, Nanjing, 211100, China

    Yansu Ji & Xiaochen Mao

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  1. Yansu Ji
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Correspondence to Xiaochen Mao.

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Ji, Y., Mao, X. Spatiotemporal dynamics of a modified FitzHugh–Nagumo neuronal network with time delays. Nonlinear Dyn 112, 7571–7582 (2024). https://doi.org/10.1007/s11071-024-09424-y

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