Solved: Fitzhugh-Nagumo equations Consider the following alternative form of the

Chapter 10, Problem 35

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Fitzhugh-Nagumo equations Consider the following alternative form of the Fitzhugh-Nagumo equations: dv dt sv 2 ads1 2 vdv 2 w dw dt sv 2 wd where . 0 and 0 , a , 1. (a) Verify that the origin is an equilibrium. (b) Calculate the Jacobian matrix. (c) Determine the local stability properties of the origin as a function of the constants.

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