Hodgkin-Huxley系统的渐进稳定性  

The asymptotically stability of the Hodgkin-Huxley system

作　　者：李全国[1] 

机构地区：[1]暨南大学数学系,广东广州510632

出　　处：《纯粹数学与应用数学》2008年第2期224-227,共4页Pure and Applied Mathematics

基　　金：国家自然科学基金(60474048)

摘　　要：用无穷维动力系统的方法研究了Hodgkin-Huxley神经脉冲传导系统的长时间行为.在齐次边界条件与非齐次边界条件证明了系统在其不变流形上的全局吸引子为系统在该不变流形内的唯一平衡点,从而证明了该系统的渐进稳定性.This paper has firstly studied the long time behaviour of the Hodgkin-Huxley system by the infinite dimensional dynamical systems method. At the same time we proved that the the global solution of Hodgkin- Huxley system is the unique equilibrium point in the invariant region φ. Under homogeneous boundary condition and nonhomogeneous boundary condition, then asymptotically stability of the system has been proved .

关 键 词：Hodgkin-Huxley神经脉冲传导系统 平衡点 稳定性 

分 类 号：O19[理学—数学]