恒电流刺激下神经元Chay模型的Hopf分岔分析  

The Hopf Bifurcation Analysis of the Neuronal Chay Model under Constant Current Stimulation

作　　者：李洪明[1] 张素丽[2] 

机构地区：[1]呼伦贝尔学院数学系,内蒙古呼伦贝尔021008 [2]太原理工大学数学学院,太原030024

出　　处：《太原理工大学学报》2013年第1期123-126,共4页Journal of Taiyuan University of Technology

摘　　要：研究了恒电流刺激下神经元Chay模型的Hopf分岔。首先,利用Matlab软件计算出系统在给定参数下的平衡点,据其Jacobian矩阵得到平衡点的稳定性。其次,根据稳定性理论,研究了恒电流刺激下神经元Chay模型,结果表明随着控制参数I的变化,系统将发生Hopf分岔。最后利用Matlab给出了支持理论分析的数值模拟。The Hopf bifurcation of the neuronal Chay model under constant current stimula- tion is analyzed. Firstly, with the help of software Matlab, the equilibrium point of the Chay model under the considered parameters was found and the stability of equilibrium point was estab lished according to its Jacobian matrix. Secondly, the stability theory was used to study the neu ronal Chay model under constant current stimulation. The results show that the the Hopf bifur cation of the Chay model occurs as the considered parameter I varies. Finally, the software Mat lab was employed to support the above theoretical analysis and present numeric simulations.

关 键 词：神经元 Chay模型 HOPF分岔 

分 类 号：O194[理学—数学]