自相关噪声作用下FitzHugh-Nagumo系统的动力学行为
Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise
摘要：
我们分析了存在色噪声和周期信号的FitzHugh-Nagumo（FHN）模型的动力学。考虑两种情况：（i）膜电位的动态受到噪声的影响，（ii）恢复变量的缓慢动态受到噪声的影响。我们通过神经元的平均反应时间（MRT）来研究色噪声对神经元动力学的影响。我们发现有意义的修改的共振激活（RA）和噪声增强的稳定性（NES）的现象，由于噪声的相关时间。对于强相关噪声，我们观察到NES效应的抑制和RA现象的持续，与神经元反应的效率增强。最后，我们表明，色噪声的自相关性导致的有效噪声强度的减少，这表现为影响FHN系统的波动的重新缩放。
英文摘要：
We analyze the dynamics of the FitzHugh-Nagumo (FHN) model in the presence of colored noise and a periodic signal. Two cases are considered: (i) the dynamics of the membrane potential is affected by the noise, (ii) the slow dynamics of the recovery variable is subject to noise. We investigate the role of the colored noise on the neuron dynamics by the mean response time (MRT) of the neuron. We find meaningful modifications of the resonant activation (RA) and noise enhanced stability (NES) phenomena due to the correlation time of the noise. For strongly correlated noise we observe suppression of NES effect and persistence of RA phenomenon, with an efficiency enhancement of the neuronal response. Finally we show that the self-correlation of the colored noise causes a reduction of the effective noise intensity, which appears as a rescaling of the fluctuations affecting the FHN system.
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