Newman-Watts小世界神经元网络的死振  

Oscillator Death on Neuronal Newman-Watts Small-world Network

作　　者：李光卿 朱陈平[1] 

机构地区：[1]南京航空航天大学理学院,江苏南京211106

出　　处：《常州工学院学报》2016年第1期6-11,共6页Journal of Changzhou Institute of Technology

基　　金：国家自然科学基金(11175086)

摘　　要：为了研究Newman-Watts小世界神经元网络的死振,采用Hindmarsh-Rose(HR)模型描写单个神经元的行为,用Newman-Watts二维小世界网络作为HR神经元之间相互耦合的模型,在外界输入电流为平均值μ=1.25μA/cm^2的高斯分布下,研究了拓扑结构、耦合强度和外界输入电流的标准差对网络活跃程度的影响。模拟结果表明:随着加边概率p值的增大,网络的活跃程度降低,甚至会在耦合强度足够大时发生死振;耦合强度的增大,会使p>0的网络活跃程度先大幅提高后急剧降低,足够大的耦合强度甚至会导致p>0的网络死振;外界输入电流的标准差增大到一定值时,会使网络脱离死振,活跃程度大幅提高,最后稳定在某一定值附近。在外界输入电流为平均值μ=1.25μA/cm2的高斯分布下,二维NW小世界HR神经元网络会在耦合强度足够大、外界输入电流标准差较小时发生死振。To investigate the oscillator death on neuronal Newman-Watts small-world network,the article studies the effects of topological structure,coupling strength and the standard deviation of external input current on the activation of two-dimensional Hindmarsh-Rose neuronal network with Newman-Watts smallworld connectivity when the distribution of external input current is Gaussian distribution with average value1. 25 μA / cm^2. The simulation results suggest that the activation level of the network decreases with adding probability p increasing. In this case,oscillator death will occur when the coupling strength is large enough.With the increasing of the coupling strength,the activation level of the small-world network,whose p is above zero,increases then decreases remarkably,and even drop to zero when the coupling strength is large enough. When the standard deviation of Gaussian distribution of external input current is above a certain value,the network will become active. And the activation level of the network stabilizes around a certain value even though the standard deviation continues increasing. Under the condition that the distribution of external input current is Gaussian distribution with average value 1. 25 μA / cm^2,oscillator death will occur on the two-dimensional Hindmarsh-Rose neuronal network with Newman-Watts small-world connectivity when the coupling strength is large enough and the standard deviation of external input current is relatively small.

关 键 词：死振 Hindmarsh-Rose神经元 Newman-Watts小世界网络 

分 类 号：O41[理学—理论物理] Q42[理学—物理]