色噪声作用下耦合神经元网络的相干共振  

Coherence Resonance in A Coupled Neurons Models Driven by Colored Noise

作　　者：刘志宏[1,2] 周玉荣[3] 张安英[2] 庞小峰[2] 

机构地区：[1]成都信息工程学院电子工程学院,成都610225 [2]电子科技大学生命科学与技术学院,成都610054 [3]攀枝花学院电气信息工程学院,四川攀枝花617000

出　　处：《电子科技大学学报》2010年第5期774-777,792,共5页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金(30600127)

摘　　要：研究了色噪声作用下耦合(FHN)神经元模型的相干共振现象。运用改进的四阶随机龙格-库塔法,计算了神经元膜电压分布和神经元点火峰峰间隔的变差系数。结果表明,神经元点火峰峰间隔的变差系数是色噪声强度、色噪声相关率和耦合神经元个数的非单调函数;存在最优的色噪声强度、色噪声相关率和耦合神经元个数,使得神经元点火峰峰间隔的变差系数出现极小值(即为相干共振)。讨论了色噪声强度、色噪声相关率和耦合神经元个数对系统相干性的影响。The phenomenon of coherence resonance（CR） in the coupled FitzHugh-Nagumo（FHN） neuron models driven by the colored noise is investigated.Based on the method of forth steps stochastic Runge-Kutta methods,the interval-spike-interval（ISI） of the neuron firing and the coefficient of variation（CV） have been obtained.It is shown that the CV is a non-monotonic function of the correlation of colored noise,the intensity of colored noise,and the coupling numbers.Furthermore,by choosing the appropriate the correlation of colored noise,the intensity of colored noise,and the coupling numbers,the minimum of the CV can be attained,the phenomenon of coherence resonance can occur.Meanwhile,the effects of the correlation of colored noise,the intensity of colored noise,and the coupling numbers on coherence resonance are discussed.

关 键 词：变差系数 相干共振 色噪声 耦合 神经元 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]