Exploring the Fitzhugh-Nagumo Model
Pascal Wallisch
In this chapter we will use the techniques of phase plane analysis to analyze a simplified model of action potential generation in neurons known as the Fitzhugh-Nagumo (FN) model. Unlike the Hodgkin-Huxley model, which has four dynamical variables, the FN model has only two, so the full dynamics of the FN model can be explored using phase plane methods.
Keywords
Fitzhugh-Nagumo model; Hodgkin-Hukley model; Jacobian matrix; limit cycle
15.1 Goal of this Chapter
In this chapter we will use the techniques of phase plane analysis to analyze a simplified model of action potential generation in neurons known as the Fitzhugh-Nagumo (FN) model. Unlike the Hodgkin-Huxley model, which has four dynamical ...
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