Fitzhugh-Nagumo System of Differential Equations by Mike Martin

On this page, you can vary the parameters in the Fitzhugh-Nagumo system of differential equations. Submit real values for all of the parameters to obtain graphical solutions of the system as functions of time and in the phase plane. Nullclines (or isoclines) are plotted in the phase plane. A numeric solution on the interval [0, T] is produced using Mathematica's numerical ODE solver, NDSolve. Initial values for both the potential, v, and recovery, w, must be input. The first graph below is that of the potential, v (in red), the second graph is that of the recovery (or blocking), w (in purple). The last graph is that of the phaseplane with the solution (in black) and nullclines, too.

Enter in the value of the parameters and select the plotting bounds, then press the "Plot" button.

ε =

α =

γ =

I_{app} =

v_{0} =

w_{0} =

T =

≤ v ≤

≤ w ≤

References:

ScholarPedia's Fitzhugh-Nagumo Model Wikipedia's FitzHugh-Nagumo Model

Wikipedia's FitzHugh-Nagumo Model