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Dynamics Analysis of the FHN Neuronal Model

Y. CHAI, G. YANG

Abstract


Hodgkin-Huxley (HH) equations are the differential equations that describing the relationship between membrane currents and voltages in nerve fibers. Fitzhugh-Nagumo (FHN) equations are the simplification of Hodgkin-Huxley equations. This paper, took FHN model as the research objects. First, the authors prove the existence of global attractor with periodic boundary for the FHN equation by using sobolev space theory; Second, give the numerical simulation of the neuron discharge condition under external stimulus

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