Stochastic Resonance in FitzHugh-Nagumo Neural Model

Abstract:

Stochastic resonance is a non-linear phenomenon where the output response of the dynamic system reaches the maximum value under the joint action of a certain intensity of noises and external incentives. In this paper, the phenomenon of stochastic resonance in a FitzHugh-Nagumo neural (FHN) model is studied. For the case that the frequency of the HF signal is much higher than that of the LF signal, under the adiabatic approximation condition, the expression of the signal-to-noise ratio (SNR) with respect to the LF signal is obtained. It is shown that, the SNR is a non-monotonous function of the amplitude and frequency of the HF signal. In addition, the SNR varies non-monotonically with increasing the intensities of the multiplicative and additive noise, with increasing the delayed-time as well as increasing the system parameters of the FHN model. The influence of the correlation time of the colored multiplicative noise and the influence of the coupling strength between the multiplicative and additive noise on the SNR is discussed.

• Periodical: Applied Mechanics and Materials (Volume 415)
• Pages: 298-302
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.415.298
• Online since: September 2013
• Authors: Deng Rong Zhou, Jian Chun Gong, Dan Li
• Keywords: Colored Multiplicative Noise, FitzHugh-Nagumo Neural Model, Signal-to-Noise Ratio (SNR), Stochastic Resonance, Vibrational Resonance

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