中文摘要：

为研究非高斯乘性噪声对神经元系统放电行为的影响,对Rulkov神经元模型进行了数值模拟。通过研究由非高斯色噪声诱导下神经元的放电时间序列,发现了非高斯乘性噪声强度和相关时间影响神经系统的放电行为;采用相干系数R进一步衡量放电行为的规则性,研究并论证了存在最优的噪声强度和相关时间使得相干共振R出现最小值。充分表明非高斯乘性噪声可以诱导神经元产生相干共振现象。

英文摘要：

In order to investigate the impacts of multiplicative non-Gaussian colored noise on the firing activity, the numerical simulation of Rulkov neural model is carried out. Different firing patterns of the neural model driven by non-Gaussian colored noise are present. This is a clear demonstration that the multiplicative noise intensity and the correlation time can affect the dis- charge behavior of tie neuron system. Then,by taking the coherence parameter R to measure the regularity of firing behavior, it is demonstrated that coherence parameter R has a pronounced minimum value with the noise intensity and the correlation time of non Gaussian colored noise, which is the so called phenomenon of coherence resonance（CR）.