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 Plot superimposed (use hold on command in MATLAB)
(b) Plot V(t) vs t and W(t) vs t and also show the trajectory on the phase plane for the both cases
(i) V(0) a and ω (0)= 0
Case 2: Choose some current value I1 < Iext I2
(a) Draw a Phase Plot for some sample value of Iext
(b) Show that the fixed point is stable i.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 Iext and (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 _A2.zip to any one of the following address. Please note do not drop your assignment on to the group.
anila.gundavarapu@gmail.com or bhadra.edu@gmail.com
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