非高斯乘性噪声驱动下神经元系统的相干共振  

Coherence Resonance in the Rulkov Neural System Driven by Multiplicative Non-Gaussian Colored Noise

作　　者：胡兵[1] 李东喜[1] 侯红卫[1] 

机构地区：[1]太原理工大学数学学院,太原030024

出　　处：《太原理工大学学报》2016年第4期552-556,共5页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目:非线性肿瘤免疫系统的随机动力学研究(11402157);山西省回国留学人员科研基金资助项目:噪声激励下肿瘤细胞演化机制及动力学行为研究(2015-032)

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。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）.

关 键 词：乘性非高斯色噪声 相干共振 Rulkov神经元模型 

分 类 号：O211.6[理学—概率论与数理统计]