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High-frequency effects in the FitzHugh-Nagumo neuron model. (English) Zbl 1244.92005

Summary: The effect of a high-frequency signal on the FitzHugh-Nagumo excitable model is analyzed. We show that the firing rate is diminished as the ratio of the high-frequency amplitude to its frequency is increased. Moreover, it is demonstrated that the excitable character of the system, and consequently the firing activity, is suppressed for ratios above a given threshold value. In addition, we show that the vibrational resonance phenomenon turns up for sufficiently large noise strength values.

MSC:

92C20 Neural biology
37N25 Dynamical systems in biology
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