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

Abstract

• The effect of electric field plays an important role in the electrical activities of neuronal systems. • Vibration resonance is widely used in weak signal detection and propagation. • The electric field weakens the multiple vibrational resonance of a single • Hindmarsh-Rose (HR) ne4uron, but enhances the multiple vibrational resonance of the coupled HR neuron system. • Multiple vibrational resonances implies the matching of multiple frequencies giving rise to an enhanced response. • Anti-resonance has certain practical significance in reducing some unexpected vibration in the field of aerospace engineering and machinery 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.