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In this paper, the phenomenon of inverse stochastic resonance (ISR) induced by Levy noise is investigated in a single neuron. Firstly, the discharge of Hodgkin–Huxley neuron at different current strengths without noise is studied. Then we cite the concept of average spiking rate and use it as a scale to measure the discharge of neuron. Under the influence of Levy noise, it is found that the average firing rate can reach a minimum caused by stability index and a scale parameter of Levy noise. The conclusion is that ISR could be induced by Levy noise when the input current strength reaches the critical threshold. Besides, in order to further prove that Levy noise can produce ISR, interspike intervals (ISIs) histogram is used for studying discharge patterns in voltage. Finally, we find that with the increase of stability index and scale parameter of Levy noise, the total number of ISIs decreases first and then increases, which implies the appearance of ISR. [ABSTRACT FROM AUTHOR]

We investigate coherence resonance (CR) in the FitzHugh-Nagumo (FHN) neurons models driven by bounded noise. By considering the coefficient of coherence resonance as a ratio, it is numerically demonstrated that bounded noise can cause CR by adjusting either the intensity of bounded noise or its frequency. When the intensity and frequency of bounded noise take certain limited values respectively, the strongest CR phenomenon is produced. [ABSTRACT FROM AUTHOR]