高斯白噪声对神经元二维映射模型动力学的影响

从神经元二维映射模型出发，用高斯白噪声模拟了神经元的噪声环境，进而研究了高斯白噪声对参数空间相图的影响.研究发现，噪声可以提高系统的可兴奋性.通过数值模拟研究了噪声引起的相干共振现象.结果表明，只有当系统参数选取在静息区域且接近连续点火和静息状态分界线时才可以得到相干共振现象. 关键词： 高斯白噪声 神经元二维映射模型 相图 相干共振

Impact of Gaussian white noise on a two-dimensional neural map

Based on the two-dimensional neural map, we use the Gaussian white noise to imitate the noisy environments of neurons. We investigate the impacts of Gaussian white noise on the phase diagram of parameters. It is found that adding the noise leads to an enhancement of excitability of the system. We also study the coherence resonance (CR) by numerical simulation, and the parameter condition of the CR phenomenon is discussed. Only when the parameters of the system are chosen in the regime of silence and near the dividing line between spiking and silence can we get the CR phenomenon.