Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems

Authors：Wang, Guowei; Yu, Dong; Ding, Qianming; Li, Tianyu; Jia, Ya^*

Source：Chaos, Solitons and Fractals, 2021, 150: 111210.

DOI：10.1016/j.chaos.2021.111210

• Hindmarsh-Rose model
• Multiple vibrational resonance
• Electric field
• Fourier coefficient

The effects of electric field on vibrational resonance in single Hindmarsh-Rose (HR) neuron and coupled HR neurons system are investigated by using Fourier coefficient, respectively. It is found that the multiple vibrational resonances (MVR) can be observed in a single HR neuron model no matter the electric field is considered or not, and the electric field weakens the MVR. When bidirectional coupling between two HR neurons is considered, the occurrence of MVR can also be detected, it is very interesting to observe that the electric field can enhance the MVR. The higher the frequency of the low-frequency signal is, the less the number of resonance peaks of the system response to the low-frequency signal will be. Moreover, the local anti-resonance is also observed when appropriate parameters are selected. The effects of coupling strength and other system parameters on Fourier coefficient are also illustrated here. The systems manifesting MVR have better capacity for detecting and propagating signals.

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