Double coherence resonance of the FitzHugh–Nagumo neuron driven by harmonic velocity noise

doi:10.1088/1674-1056/23/8/080504

Abstract The effect of noise frequency on the FitzHugh-Nagumo neuron is investigated by the use of the harmonic velocity noise, which has a direct frequency parameter and no zero frequency part of the power spectrum. It is shown that the neuron has the resonance characteristic strongly responding to the noise with a certain frequency at fixed power, and there is double coherence resonance related to the frequency and the intensity. If the harmonic velocity noise lacks low frequency ingredients, there is no synchronization between the frequency of the neuron and that of the noise. Thus the low frequency part of the noise plays an important role in creating the synchronization.

Keywords: coherence resonance FitzHugh-Nagumo neuron harmonic noise frequency effect

Received: 17 November 2013
Revised: 18 February 2014
Accepted manuscript online:

PACS:	05.40.Ca	(Noise)
	05.45.Xt	(Synchronization; coupled oscillators)
	87.16.dj	(Dynamics and fluctuations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11175128).

Corresponding Authors: Song Yan-Li
E-mail: songyanli@tju.edu.cn

Cite this article:

Song Yan-Li (宋艳丽) Double coherence resonance of the FitzHugh–Nagumo neuron driven by harmonic velocity noise 2014 Chin. Phys. B 23 080504

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Double coherence resonance of the FitzHugh–Nagumo neuron driven by harmonic velocity noise

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