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Phase Plane Dynamics of FitzHugh-Nagumo Model of Neuronal Excitation

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This Demonstration shows the fast–slow dynamics of the FitzHugh–Nagumo model of neuronal excitation. The main window shows the trajectory in the phase plane of the fast excitation variable and the slow recovery variable , together with the corresponding nullclines.

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The smaller graphic on the left shows the time evolution of and .

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Contributed by: Mikel Landajuela Larma (March 2019)
Open content licensed under CC BY-NC-SA

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Details

The traditional FitzHugh–Nagumo equations [1] are

where

, for , .

is the applied current. Typical values would be , and .

Reference

[1] J. P. Keener and J. Sneyd, Mathematical Physiology, 2nd ed., New York: Springer, 2009.

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