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MATLAB for Neuroscientists, 2nd Edition by Nicholas G. Hatsopoulos, Adam Seth Dickey, Tanya I. Baker, Marc D. Benayoun, Michael E. Lusignan, Pascal Wallisch

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Chapter 15

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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