## Description

Simulate the two variable FitzHugh-Nagumo neuron model using the following equations :

Use single forward Euler Integration

dv/dt = Δv/ Δt

Δv(t) = v(t+1) -v(t) = [fv(t) – w(t) + Iext(t)]* Δt given v(0) –> v(Δt ) –> v(2* Δt ) –>….

Case 1: Iext= 0

(a) Draw a Phase Plotsuperimposed(use hold on command in MATLAB)

(b) Plot V(t) vs t and W(t) vs tand also show the trajectory on the phase plane for the both cases

(i) V(0) < a and ω (0)= 0
(ii) V(0) > a and ω (0)= 0

Case 2: Choose some current valueI1

(a) Draw a Phase Plot for some sample value of Iext

(b) Show that the fixed point is stablei.e., for a small perturbation there is a return to the fixed point (show the trajectory on the phase plane)

(c) Plot V(t) vs t and W(t) vs t

Case 4:Fine suitable values of Iextand (b/r) such that the graph looks as phase plot shown as below.

(a) Redraw the Phase plot

(b) Show suitability of P1, P2, P3

(c) Plot V(t) vs t and W(t) vs t

Do not share your assignments with each other. Discussions are permitted but the code and the final report must be an individual effort. Please feel free to mail the group any doubts.

Submission Instructions

Enclose all your programs, plots and report in a single zip folder

Submit a compressed zip or tar file named as

anila.gundavarapu@gmail.com or bhadra.edu@gmail.com

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