Levy noise induced stochastic resonance in an FHN model
Levy noise induced stochastic resonance in an FHN model
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FHN 模型中 Levy 噪声引起的随机共振
DOI：
10.1007/s11431-015-6001-2
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发表时间：
2016
影响因子：
4.6
通讯作者：
Yang Hui
中科院分区：
文献类型：
--
作者：
Wang ZhanQing;Xu Yong;Yang Hui
本文旨在用数值方法研究具有加性lsamvy噪声的FitzHugh-Nagumo （FHN）模型的随机共振（SR）。非高斯lsamvy噪声是一种不同于一般高斯噪声的一般随机噪声，它具有小的波动和不可预测的跳变来描述FHN模型中的随机波动。信噪比是由信噪比决定的，数值模拟结果表明，在给定的FHN系统中存在着信噪比现象。研究了l<s:1>杂波噪声和FHN模型的各参数对SR的影响，提出了与高斯噪声不同的l<s:1>杂波噪声诱发SR的机理。
This paper aims to investigate the stochastic resonance (SR) in an FitzHugh-Nagumo (FHN) model with an additive Lévy noise numerically. The non-Gaussian Lévy noise is a kind of general random noise which is different from the usual Gaussian noise, and it has small fluctuations with the unpredictable jumps to describe the random fluctuations in an FHN model. SR is determined by the signal-to-noise ratio (SNR), and the numerical simulation results show the occurrence of the SR phenomena in the given FHN system. The influence of various parameters of the Lévy noise and the FHN model on the SR will be examined, and some mechanisms of the Lévy noise-induced SR are presented which are different from those of the Gaussian noise.