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Vibrational and Stochastic Resonance in FitzHugh-Nagumo Neural Model with Time-Delay and Colored Additive Noise

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Abstract:

The vibrational resonance (VR) and stochastic resonance (SR) phenomena in time-delayed FitzHugh-Nagumo (FHN) neural model, driven by one high-frequency (HF) signal and one low-frequency (LF) signal, with coupled multiplicative and colored additive noise, is investigated. 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 additive noise and the coupling strength between the multiplicative and additive noise on the SNR is discussed.

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Periodical:

Applied Mechanics and Materials (Volumes 117-119)

Pages:

685-689

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.117-119.685

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Online since:

October 2011

Authors:

Yu Rong Zhou, Zheng You He

Keywords:

Colored Additive Noise, FitzHugh-Nagumo Neural Model, Signal-to-Noise Ratio (SNR), Stochastic Resonance, Vibrational Resonance

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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