6.3.6. © The Fitzhugh-Nagumo equations are a simple model of the repeated firing of a neuron. They are given by dvi -—1(

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6 3 6 The Fitzhugh Nagumo Equations Are A Simple Model Of The Repeated Firing Of A Neuron They Are Given By Dvi 1 1 (76.38 KiB) Viewed 16 times

6.3.6. © The Fitzhugh-Nagumo equations are a simple model of the repeated firing of a neuron. They are given by dvi -—1(0–1)(0, –a) - v2 +1, dt dvz = c(0,–yvz). - dt = = Assume v1(O)=0.5, vz(O)=0.1, a=0.1, € = 0.008, y = 1. For each value of I below, find and plot the solution using ode45 for Ost 3 600. The solutions are highly sensitive to 1, and you need to read the documentation on odeset to change the requested absolute and relative error tolerances to 10–9. Each time, the solution quickly approaches a periodic oscillation. (a) I = 0.05527, (b) I=0.05683, (C) I=0.0568385, (d) I = 0.05740. This exploration was carried out by Baer and Erneux [7].