Why am I not getting desired output?
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I am solving differential equation that contain piecewise function. I coded this in Octave and I am getting desired results but the same in MATLAB is not giving the desired results. Code is compiling without any error but output is different. Code is given below:
function neural_circuit
% using rk4 method
clc;
clear all;
close all;
h = 0.05;
t = 1:h:500;
y0 = [2.5, 3.6, 9.5, 8.8, 2, 3, 7, 7.5];
% t(1) =0;
y = zeros(length(t),8);
y(1,:) = y0;
for i = 1:length(t)
% %updates time
t(i+1) = t(i)+h;
k1 = model(t(i), y(i, :));
k2 = model(t(i)+h/2, y(i, :)+k1*h/2);
k3 = model(t(i)+h/2, y(i, :)+k2*h/2);
k4 = model(t(i)+h, y(i, :)+k3*h);
y(i+1, :) = y(i, :)+(k1/6+k2/3+k3/3+k4/6)*h;
end
plot(t,y(:,1)) %% plot of s_l1
end
function dy= model(t,y)
% dy = zeros(1,8);
%parameters value
tau_s = 10; taur_a = 83; beta_l = 0.0175; Jr_a =148.20; I_ext = 20; I_0=0.29; J_l1l2 = 45.5; J_l1b1= 0.001; J_l2b2 = 0.001; J_b1b2= 44.5;
J_l1l1 = 35.4; J_l2l2 = 35.4; J_b1b1 = 32.4; J_b2b2 = 32.4;
function y = pieceWise(t)
y = ...
(t ) .* (t >= 0) + ...
(0 ) .* (t <0);
end
% function f = pieceWise(s)
% if s>=0
% f = s;
% else
% f=0;
% end
% end
dy(1) = -(y(1)/tau_s)+ beta_l*pieceWise(I_ext-J_l1l2*y(2)-J_l1b1*y(3)-J_l1l1*y(1)-y(5)-I_0);
dy(2) = -(y(2)/tau_s)+ beta_l.*pieceWise(I_ext-J_l1l2*y(1)-J_l2b2*y(4)-J_l2l2*y(2)-y(6)-I_0);
dy(3) = -(y(3)/tau_s)+ beta_l.*pieceWise(I_ext-J_b1b2*y(4)-J_l1b1*y(1)-J_b1b1*y(3)-y(7)-I_0);
dy(4) = -(y(4)/tau_s)+ beta_l.*pieceWise(I_ext-J_b1b2*y(3)-J_l2b2*y(2)-J_b2b2*y(4)-y(8)-I_0);
dy(5) = -y(5)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(2)-J_l1b1*y(3)-J_l1l1*y(1)-y(5)-I_0)./taur_a;
dy(6) = -y(6)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(1)-J_l2b2*y(4)-J_l2l2*y(2)-y(6)-I_0)./taur_a;
dy(7) = -y(7)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(4)-J_l1b1*y(1)-J_b1b1*y(3)-y(7)-I_0)./taur_a;
dy(8) = -y(8)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(3)-J_l2b2*y(2)-J_b2b2*y(4)-y(8)-I_0)./taur_a;
end
1 commentaire
Jan
le 20 Juin 2022
clear all; on top of a function is a complete waste of time and has no meaningful purpose. It deletes all loaded functions from the RAM such that realoading them from the slow disk needs time without any benefit. This is called "cargo cult programming".
"J_l1l1" is really hard to read.
Réponse acceptée
Torsten
le 20 Juin 2022
Modifié(e) : Torsten
le 20 Juin 2022
h = 0.05;
t = 1:h:500;
y0 = [2.5, 3.6, 9.5, 8.8, 2, 3, 7, 7.5];
% t(1) =0;
y = zeros(length(t),8);
y(1,:) = y0;
for i = 1:length(t)
t(i+1) = t(i)+h;
k1 = model(t(i), y(i, :));
k2 = model(t(i)+h/2, y(i, :)+k1*h/2);
k3 = model(t(i)+h/2, y(i, :)+k2*h/2);
k4 = model(t(i)+h, y(i, :)+k3*h);
y(i+1, :) = y(i, :)+(k1/6+k2/3+k3/3+k4/6)*h;
end
plot(t,y(:,1)) %% plot of s_l1
function dy = model(t,y)
tau_s = 10; taur_a = 83; beta_l = 0.0175; Jr_a =148.20; I_ext = 20; I_0=0.29; J_l1l2 = 45.5; J_l1b1= 0.001; J_l2b2 = 0.001; J_b1b2= 44.5;
J_l1l1 = 35.4; J_l2l2 = 35.4; J_b1b1 = 32.4; J_b2b2 = 32.4;
dy(1) = -(y(1)/tau_s)+ beta_l*pieceWise(I_ext-J_l1l2*y(2)-J_l1b1*y(3)-J_l1l1*y(1)-y(5)-I_0);
dy(2) = -(y(2)/tau_s)+ beta_l.*pieceWise(I_ext-J_l1l2*y(1)-J_l2b2*y(4)-J_l2l2*y(2)-y(6)-I_0);
dy(3) = -(y(3)/tau_s)+ beta_l.*pieceWise(I_ext-J_b1b2*y(4)-J_l1b1*y(1)-J_b1b1*y(3)-y(7)-I_0);
dy(4) = -(y(4)/tau_s)+ beta_l.*pieceWise(I_ext-J_b1b2*y(3)-J_l2b2*y(2)-J_b2b2*y(4)-y(8)-I_0);
dy(5) = (-y(5)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(2)-J_l1b1*y(3)-J_l1l1*y(1)-y(5)-I_0))./taur_a;
dy(6) = (-y(6)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(1)-J_l2b2*y(4)-J_l2l2*y(2)-y(6)-I_0))./taur_a;
dy(7) = (-y(7)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(4)-J_l1b1*y(1)-J_b1b1*y(3)-y(7)-I_0))./taur_a;
dy(8) = (-y(8)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(3)-J_l2b2*y(2)-J_b2b2*y(4)-y(8)-I_0))./taur_a;
end
function y = pieceWise(t)
y = (t ) .* (t >= 0) + ...
(0 ) .* (t <0);
end
2 commentaires
Torsten
le 20 Juin 2022
dy(5) = -y(5)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(2)-J_l1b1*y(3)-J_l1l1*y(1)-y(5)-I_0)./taur_a;
dy(6) = -y(6)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(1)-J_l2b2*y(4)-J_l2l2*y(2)-y(6)-I_0)./taur_a;
dy(7) = -y(7)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(4)-J_l1b1*y(1)-J_b1b1*y(3)-y(7)-I_0)./taur_a;
dy(8) = -y(8)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(3)-J_l2b2*y(2)-J_b2b2*y(4)-y(8)-I_0)./taur_a;
instead of
dy(5) = (-y(5)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(2)-J_l1b1*y(3)-J_l1l1*y(1)-y(5)-I_0))./taur_a;
dy(6) = (-y(6)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(1)-J_l2b2*y(4)-J_l2l2*y(2)-y(6)-I_0))./taur_a;
dy(7) = (-y(7)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(4)-J_l1b1*y(1)-J_b1b1*y(3)-y(7)-I_0))./taur_a;
dy(8) = (-y(8)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(3)-J_l2b2*y(2)-J_b2b2*y(4)-y(8)-I_0))./taur_a;
Plus de réponses (1)
Jan
le 20 Juin 2022
Modifié(e) : Jan
le 20 Juin 2022
neural_circuit
function neural_circuit
h = 0.05;
t = 1:h:500;
y0 = [2.5, 3.6, 9.5, 8.8, 2, 3, 7, 7.5];
% t(1) =0;
y = zeros(length(t),8);
y(1,:) = y0;
for i = 1:length(t)
t(i+1) = t(i)+h;
k1 = model(t(i), y(i, :));
k2 = model(t(i)+h/2, y(i, :)+k1*h/2);
k3 = model(t(i)+h/2, y(i, :)+k2*h/2);
k4 = model(t(i)+h, y(i, :)+k3*h);
y(i+1, :) = y(i, :)+(k1/6+k2/3+k3/3+k4/6)*h;
end
plot(t,y(:,1)) %% plot of s_l1
end
function dy = model(t,y)
tau_s = 10; taur_a = 83; beta_l = 0.0175; Jr_a =148.20; I_ext = 20; I_0=0.29; J_l1l2 = 45.5; J_l1b1= 0.001; J_l2b2 = 0.001; J_b1b2= 44.5;
J_l1l1 = 35.4; J_l2l2 = 35.4; J_b1b1 = 32.4; J_b2b2 = 32.4;
function y = pieceWise(t)
y = (t ) .* (t >= 0) + ...
(0 ) .* (t <0);
end
dy(1) = -(y(1)/tau_s)+ beta_l*pieceWise(I_ext-J_l1l2*y(2)-J_l1b1*y(3)-J_l1l1*y(1)-y(5)-I_0);
dy(2) = -(y(2)/tau_s)+ beta_l.*pieceWise(I_ext-J_l1l2*y(1)-J_l2b2*y(4)-J_l2l2*y(2)-y(6)-I_0);
dy(3) = -(y(3)/tau_s)+ beta_l.*pieceWise(I_ext-J_b1b2*y(4)-J_l1b1*y(1)-J_b1b1*y(3)-y(7)-I_0);
dy(4) = -(y(4)/tau_s)+ beta_l.*pieceWise(I_ext-J_b1b2*y(3)-J_l2b2*y(2)-J_b2b2*y(4)-y(8)-I_0);
dy(5) = -y(5)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(2)-J_l1b1*y(3)-J_l1l1*y(1)-y(5)-I_0)./taur_a;
dy(6) = -y(6)+Jr_a*beta_l.*pieceWise(I_ext-J_l1l2*y(1)-J_l2b2*y(4)-J_l2l2*y(2)-y(6)-I_0)./taur_a;
dy(7) = -y(7)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(4)-J_l1b1*y(1)-J_b1b1*y(3)-y(7)-I_0)./taur_a;
dy(8) = -y(8)+Jr_a*beta_l.*pieceWise(I_ext-J_b1b2*y(3)-J_l2b2*y(2)-J_b2b2*y(4)-y(8)-I_0)./taur_a;
end
Output with Octave:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1039120/image.png)
I do not see the problem.
3 commentaires
Jan
le 20 Juin 2022
Please copy and paste the code from my answer to your Octave and run it.
I'm convinced, that you use a different code - e.g. your diagram ends and 200.
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