The Fitzhugh-Nagumo model is a simplified mathematical representation of neuronal activity, capturing the essential dynamics of excitable systems. It builds on the Hodgkin-Huxley model by using two variables to describe the membrane potential and recovery dynamics, making it easier to analyze phenomena such as action potentials and wave propagation in neurons. This model is particularly relevant in understanding Hopf bifurcations, where the stability of a fixed point changes, leading to oscillatory behavior in the system.
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