一种基于旋转变换的Morris-Lecar神经元模型的动力学特性分析  

Dynamical Characteristics Analysis of Morris-Lecar Neuron Model with Rotational Transformation

作　　者：王其霞 WANG Qi-xia(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《兰州文理学院学报（自然科学版）》2024年第1期17-23,34,共8页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：为了使神经元模型能表现出丰富的放电特性,对三维Morris-Lecar神经元系统施加旋转变换,计算不同旋转角度下的平衡点及其对应特征值,利用分岔图、相图和时间历程图研究混沌振荡,并与偏置控制进行对比分析.数值结果表明含有旋转变换的Morris-Lecar神经元模型不仅能保持平衡点的稳定性,而且也不需要任何耦合项就能实现对吸引子相位的控制.In order to enable the neuron model to exhibit rich discharge properties,a rotational transformation is applied to the three-dimensional Morris-Lecar neuron system,the equilibrium points and their corresponding eigenvalues are computed for different rotation angles,and chaotic oscillations are investigated by using bifurcation diagrams,phase diagrams,and time-course diagrams,and are analyzed in comparison with bias control.The numerical results show that the Morris-Lecar neuron model containing the rotational transformation not only maintains the stability of the equilibrium point,but also realizes the control of the attractor phase without any coupling term.

关 键 词：Morris-Lecar神经元 旋转变换 平衡点 分岔 偏置控制 

分 类 号：O193[理学—数学] O441[理学—基础数学]