摘要
研究了非高斯噪声激励下含周期信号的FHN模型的动力学行为.通过计算神经元的平均响应时间、观察神经元的共振活化和噪声增强稳定现象,分析了非高斯噪声对神经元动力学行为的影响.发现通过改变非高斯噪声的相关时间可以有效地改变共振活化和噪声增强稳定现象.观察到在强相关噪声下不同强度的非高斯噪声抑制了神经元的噪声增强稳定现象而共振活化现象几乎不变,也就是非高斯噪声有效地增强了神经响应的效率.观察了平均响应时间与非高斯噪声参数q之间的关系,当q为一个有限的小于1的值时,平均响应时间取得最小值.最后表明在一定条件下,非高斯噪声出现重尺度现象,即非高斯噪声产生的效果可以由高斯白噪声来估计.
The dynamics of the FitzHugh-Nagumo(FHN) model in the presence of non-Gaussian noise and a periodic signal is analyzed in this paper.We observe the resonant activation(RA) and the noise enhanced stability(NES) phenomena and analyze the effect of the non-Gaussian noise on the neuron dynamics by the mean response time(MRT) of the neuron.Some significant changes of the resonant activation(RA) and noise enhanced stability(NES) phenomena due to the correlation time of the noise are found.We observe that the NES effect is suppressed and RA phenomenon is unchanged,i.e.,the non-Gaussian noise effectively enhances the efficiency of the neuronal response,for the case of strongly correlated noise.We report on the MRT as a function of q,and find that MRT is nonmonotonicaly dependent on q with a minimum at a finite q value which is smaller than 1.Finally we obtain that in certain situations,the non-Gaussian noise causes rescaling phenomenon,then the effect of non-Gaussian noise can be reproduced by a white noise.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2011年第10期742-749,共8页
Acta Physica Sinica
基金
国家自然科学基金(批准号:11072182)资助的课题~~
关键词
FHN神经系统
非高斯噪声
平均响应时间
共振活化现象
FitzHugh-Nagumo neural system
non-Gaussian noise
mean response time
resonant activation phenomena