非高斯噪声激励下FHN神经元系统的定态概率密度与平均首次穿越时间  

The steady state probability distribution and mean first passage time of FHN neural system driven by non-Gaussian noise

作　　者：赵燕[1] 徐伟[1] 邹少存[1] 

机构地区：[1]西北工业大学应用数学系,西安710072

出　　处：《物理学报》2009年第3期1396-1402,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10872165)资助的课题~~

摘　　要：研究了非高斯噪声激励下的FHN神经元系统,应用路径积分法和统一色噪声近似得到系统的定态概率密度函数和平均首次穿越时间表达式.发现了加性噪声强度Q能够诱导非平衡相变的产生,乘性噪声强度D、偏离参数p及关联时间τ0均不能诱导非平衡相变发生;非高斯噪声的存在缩短了细胞神经元系统静息态和激发态之间的转化时间,有利于神经元信息的传递.We investigated the FitzHugh-Nagumo neural system driven by non-Gaussian noise. The expressions of the stationary probability distribution and the mean first-passage time are obtained through the path-integral approach and the unified colored noise approximation. The results show that the intensity of additive noise can induce phase transition,while the intensity of multiplicative noise,the derivation parameter and the correlation time cannot. The non-Gaussian noise shortens transformation time between resting state and excited state and is beneficial to transmission of information in neural system.

关 键 词：FHN神经元系统 非高斯噪声 定态概率密度 平均首次穿越时间 

分 类 号：O414.2[理学—理论物理]