Fitz-Hugh Nagumo系统的渐近稳定性

The Asymptotic Stabilizability of the Fitz-Hugh Nagumo System

用无穷维动力系统的方法研究了Fitz-Hugh Nagumo神经系统中沿神经细胞轴突信号传递的长时间行为.在齐次边界条件与非齐次边界条件下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近稳定性.

This paper studies the long time behaviour of the Fitz-Hugh Nagumo system by the Infinite dimensional dynamical systems method.At the same time,we find the condi- tions which can make the the global attractor of Fitz-Hugh Nagumo system to be the unique equilibrium point in the invariant region (?) Under homogeneous boundary conditions and nonho- mogeneous boundary conditions,then asymptotic stabilizability of the system is proved.