https://doi.org/10.1140/epjb/s10051-023-00594-z
Regular Article - Statistical and Nonlinear Physics
Effects of high–low-frequency electromagnetic radiation on vibrational resonance in FitzHugh–Nagumo neuronal systems
School of Electronics and Information Engineering, Lanzhou Jiaotong University, 730070, Lanzhou, China
Received:
24
July
2023
Accepted:
7
September
2023
Published online:
27
September
2023
In this paper, based on the modified FitzHugh–Nagumo (FHN) neuron model, the effects of high–low-frequency (HLF) electromagnetic radiation on vibrational resonance (VR) in single neuron and two coupled neurons system are investigated, respectively. It is found that the VR can be observed in a single modified FHN neuron model with or without considering the HLF electromagnetic radiation, and the HLF electromagnetic radiation weakens the VR. When coupling between two modified FHN neurons is considered, the multiple vibrational resonances (MVR) can be detected. However, the input of HLF electromagnetic radiation makes the maximum area and intensity of the system response amplitude smaller, ultimately weakening the MVR. Further analysis shows that the HLF electromagnetic radiation caused a decrease in the number and amplitude of neuronal discharges, making the system less sensitive to the low-frequency signal, thus weakening the VR. In addition, the effects of system parameters such as the amplitude and frequency of HLF electromagnetic radiation and the strength of coupling between two neurons on the Fourier coefficients are investigated, and it is found that these parameters can also induce changes in the number of resonance peaks, resulting in VR and MVR. Systems that exhibit MVR have better ability to detect and propagate signals under HLF electromagnetic radiation. And the HLF electromagnetic radiation plays an important role in weakening the VR in neuronal systems.
Kaijun Wu and Jiawei Li have contributed equally to this work.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.