二维映射神经元模型中的相干双共振  

Coherence bi-resonance in a two-dimensional neural map

作　　者：汪茂胜[1] 黄万霞[1] 崔执凤[1] 

机构地区：[1]安徽师范大学物理系,芜湖241000

出　　处：《物理学报》2010年第7期4485-4489,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10674002);安徽省高校省级自然科学研究重点项目(批准号:KJ2010A129);安徽省高校青年教师科研资助计划(批准号:2008jq1055)资助的课题~~

摘　　要：在具有稳定次阈值振荡特性的二维映射神经元模型中,研究了在没有外界输入信号时噪声对体系动力学的影响.通过数值计算发现了当体系的确定性动力学处于静息状态时,噪声可以诱导出神经元膜电位的随机振荡,而且随着噪声强度的变化,这种振荡的相干性具有两个极大值.另外我们还研究了当体系的确定性动力学处于稳定次阈值振荡及神经脉冲状态时的噪声效应,结果表明噪声对体系动力学的影响与其确定性动力学的分岔特性密切相关.The influence of noise on the dynamics of a two-dimensional neural map with self-sustained subthreshold oscillations is studied by numerical simulation.When the injected current is absent and the control parameter is located in the silence region,numerical results show that stochastic oscillations of the membrane potential can be induced by noise.Moreover,the coherence of such oscillations shows two maxima with the variation of the noise strength.The effect of control parameter on the dynamics of the system has also been investigated.Interestingly,it is found that the occurrence of coherence bi-resonance is closely associated with the distinct characteristics of the bifurcation of the deterministic dynamics.

关 键 词：二维映射神经元模型 相干双共振 高斯白噪声 次阈值振荡 

分 类 号：O321[理学—一般力学与力学基础]