# Why I am not getting anything from the plot?

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Heya :) on 8 Dec 2020
Commented: Heya :) on 9 Dec 2020
The plot is supposed to be two waves x1_rec and x2_rec. But I am not getting anything from the code. Can anyone please elaborate why?
clear all; close all; clc;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Simulation %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%value of constants
a1=0.1;a2=0.2;
omega1=5;omega2=4;
G=1;C12=0.01;C21=0.02;
dt=0.01; %step size
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x1(1)=0.5;
y1(1)=0.5;
x2(1)=1;
y2(1)=1;
for i=2:1000
x1(i)=x1(i-1)+((a1-x1(i-1)^2-y1(i-1)^2)*x1(i-1)-omega1*y1(i-1)+G*C12*(x2(i-1)-x1(i-1)))*dt;
y1(i)=y1(i-1)+((a1-x1(i-1)^2-y1(i-1)^2)*y1(i-1)+omega1*x1(i-1)+G*C12*(y2(i-1)-y1(i-1)))*dt;
x2(i)=x2(i-1)+((a2-x2(i-1)^2-y2(i-1)^2)*x2(i-1)-omega2*y2(i-1)+G*C21*(x1(i-1)-x2(i-1)))*dt;
y2(i)=y2(i-1)+((a2-x2(i-1)^2-y2(i-1)^2)*y2(i-1)+omega2*x2(i-1)+G*C21*(y1(i-1)-y2(i-1)))*dt;
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Observation %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
N_measurements=31;
N_basis=31;
index=randi([100,999],1,N_measurements);
Xdot1=zeros([1,N_measurements]);
Ydot1=zeros([1,N_measurements]);
Xdot2=zeros([1,N_measurements]);
Ydot2=zeros([1,N_measurements]);
for ni=1:N_measurements
Xdot1(ni)=(x1(index(ni)+1)-x1(index(ni)))/dt;
Ydot1(ni)=(y1(index(ni)+1)-y1(index(ni)))/dt;
Xdot2(ni)=(x2(index(ni)+1)-x2(index(ni)))/dt;
Ydot2(ni)=(y2(index(ni)+1)-y2(index(ni)))/dt;
end
M=zeros([N_measurements,N_basis]);
for i=1:N_measurements
for j=1:N_basis
if j==1
M(i,j)=1;
elseif j==2
M(i,j)=x1(index(i));
elseif j==3
M(i,j)=y1(index(i));
elseif j==4
M(i,j)=x2(index(i));
elseif j==5
M(i,j)=y2(index(i));
elseif j==6
M(i,j)=x1(index(i))^2;
elseif j==7
M(i,j)=x2(index(i))^2;
elseif j==8
M(i,j)=y1(index(i))^2;
elseif j==9
M(i,j)=y2(index(i))^2;
elseif j==10
M(i,j)=x1(index(i))*x2(index(i));
elseif j==11
M(i,j)=x1(index(i))*y1(index(i));
elseif j==12
M(i,j)=x1(index(i))*y2(index(i));
elseif j==13
M(i,j)=x2(index(i))*y1(index(i));
elseif j==14
M(i,j)=x2(index(i))*y2(index(i));
elseif j==15
M(i,j)=y1(index(i))*y2(index(i));
elseif j==16
M(i,j)=x1(index(i))^3;
elseif j==17
M(i,j)=y1(index(i))^3;
elseif j==18
M(i,j)=x2(index(i))^3;
elseif j==19
M(i,j)=y2(index(i))^3;
elseif j==20
M(i,j)=x1(index(i))^2*x2(index(i));
elseif j==21
M(i,j)=x1(index(i))^2*y1(index(i));
elseif j==22
M(i,j)=x1(index(i))^2*y2(index(i));
elseif j==23
M(i,j)=x2(index(i))^2*x1(index(i));
elseif j==24
M(i,j)=x2(index(i))^2*y1(index(i));
elseif j==25
M(i,j)=x2(index(i))^2*y2(index(i));
elseif j==26
M(i,j)=y1(index(i))^2*x1(index(i));
elseif j==27
M(i,j)=y1(index(i))^2*x2(index(i));
elseif j==28
M(i,j)=y1(index(i))^2*y2(index(i));
elseif j==29
M(i,j)=y2(index(i))^2*x1(index(i));
elseif j==30
M(i,j)=y2(index(i))^2*x2(index(i));
else j==31
M(i,j)=y2(index(i))^2*y1(index(i));
end
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% RIP %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Norms=zeros([1,N_basis]);
for j=1:N_basis
Norms(j)=norm(M(:,j));
end
for i=1:N_measurements
for j=1:N_basis
M(i,j)=M(i,j)/Norms(j);
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x1_rec(1)= x1(1);
x2_rec(1)= x2(1);
y1_rec(2)= y1(1);
y2_rec(2)= y2(1);
a1=0.0000;
a2=0.0900;
a3=-5.0000;
a4=0.0100;
a5=0.0000;
a6=0.0000;
a7=0.0000;
a8=0.0000;
a9=0.0000;
a10=0.0000;
a11=0.0000;
a12=0.0000;
a13=0.0000;
a14=0.0000;
a15=0.0000;
a16=-1.0000;
a17=0.0000;
a18=0.0000;
a19=0.0000;
a20=0.0000;
a21=0.0000;
a22=0.0000;
a23=0.0000;
a24=0.0000;
a25=0.0000;
a26=-1.0000;
a27=0.0000;
a28=0.0000;
a29=0.0000;
a30=0.0000;
a31=0.0000;
%b=y1
b1=0.0000;
b2=5.0000;
b3=0.0900;
b4=0.0000;
b5=0.0100;
b6=0.0000;
b7=0.0000;
b8=0.0000;
b9=0.0000;
b10=0.0000;
b11=0.0000;
b12=0.0000;
b13=0.0000;
b14=0.0000;
b15=0.0000;
b16=0.0000;
b17=-1.0000;
b18=0.0000;
b19=0.0000;
b20=0.0000;
b21=-1.0000;
b22=0.0000;
b23=0.0000;
b24=0.0000;
b25=0.0000;
b26=0.0000;
b27=0.0000;
b28=0.0000;
b29=0.0000;
b30=0.0000;
b31=0.0000;
%c=x2
c1=0.0000;
c2=0.0200;
c3=0.0000;
c4=0.1800;
c5=-4.0000;
c6=0.0000;
c7=0.0000;
c8=0.0000;
c9=0.0000;
c10=0.0000;
c11=0.0000;
c12=0.0000;
c13=0.0000;
c14=0.0000;
c15=0.0000;
c16=0.0000;
c17=0.0000;
c18=-1.0000;
c19=0.0000;
c20=0.0000;
c21=0.0000;
c22=0.0000;
c23=0.0000;
c24=0.0000;
c25=0.0000;
c26=0.0000;
c27=0.0000;
c28=0.0000;
c29=0.0000;
c30=-1.0000;
c31=0.0000;
%d=y2
d1=0.0000;
d2=0.0000;
d3=0.0200;
d4=4.0000;
d5=0.1800;
d6=0.0000;
d7=0.0000;
d8=0.0000;
d9=0.0000;
d10=0.0000;
d11=0.0000;
d12=0.0000;
d13=0.0000;
d14=0.0000;
d15=0.0000;
d16=0.0000;
d17=0.0000;
d18=0.0000;
d19=-1.0000;
d20=0.0000;
d21=0.0000;
d22=0.0000;
d23=0.0000;
d24=0.0000;
d25=-1.0000;
d26=0.0000;
d27=0.0000;
d28=0.0000;
d29=0.0000;
d30=0.0000;
d31=0.0000;
for i=2:32
y1_rec(i)= b1+b2*x1_rec(i-1)+b3*y1_rec(i-1)+b4*x2_rec(i-1)+b5*y2_rec(i-1)+b6*x1_rec(i-1)^2+b7*x2_rec(i-1)^2+b8*y1_rec(i-1)^2+b9*y2_rec(i-1)^2+b10*x1_rec(i-1)*x2_rec(i-1)+b11*x1_rec(i-1)*y1_rec(i-1)+b12*x1_rec(i-1)*y2_rec(i-1)+b13*x2_rec(i-1)*y1_rec(i-1)+b14*x2_rec(i-1)*y2_rec(i-1)+b15*y1_rec(i-1)*y2_rec(i-1)+b16*x1_rec(i-1)^3+b17*y1_rec(i-1)^3+b18*x2_rec(i-1)^3+b19*y2_rec(i-1)^3+b20*x1_rec(i-1)^2*x2_rec(i-1)+b21*x1_rec(i-1)^2*y1_rec(i-1)+b22*x1_rec(i-1)^2*y2_rec(i-1)+b23*x2_rec(i-1)^2*x1_rec(i-1)+b24*x2_rec(i-1)^2*y1_rec(i-1)+b25*x2_rec(i-1)^2*y2_rec(i-1)+b26*y1_rec(i-1)^2*x1_rec(i-1)+b27*y1_rec(i-1)^2*x2_rec(i-1)+b28*y1_rec(i-1)^2*y2_rec(i-1)+b29*y2_rec(i-1)^2*x1_rec(i-1)+b30*y2_rec(i-1)^2*x2_rec(i-1)+b31*y2_rec(i-1)^2*y1_rec(i-1);
y2_rec(i)= d1+d2*x1_rec(i-1)+d3*y1_rec(i-1)+d4*x2_rec(i-1)+d5*y2_rec(i-1)+d6*x1_rec(i-1)^2+d7*x2_rec(i-1)^2+d8*y1_rec(i-1)^2+d9*y2_rec(i-1)^2+d10*x1_rec(i-1)*x2_rec(i-1)+d11*x1_rec(i-1)*y1_rec(i-1)+d12*x1_rec(i-1)*y2_rec(i-1)+d13*x2_rec(i-1)*y1_rec(i-1)+d14*x2_rec(i-1)*y2_rec(i-1)+d15*y1_rec(i-1)*y2_rec(i-1)+d16*x1_rec(i-1)^3+d17*y1_rec(i-1)^3+d18*x2_rec(i-1)^3+d19*y2_rec(i-1)^3+d20*x1_rec(i-1)^2*x2_rec(i-1)+d21*x1_rec(i-1)^2*y1_rec(i-1)+d22*x1_rec(i-1)^2*y2_rec(i-1)+d23*x2_rec(i-1)^2*x1_rec(i-1)+d24*x2_rec(i-1)^2*y1_rec(i-1)+d25*x2_rec(i-1)^2*y2_rec(i-1)+d26*y1_rec(i-1)^2*x1_rec(i-1)+d27*y1_rec(i-1)^2*x2_rec(i-1)+d28*y1_rec(i-1)^2*y2_rec(i-1)+d29*y2_rec(i-1)^2*x1_rec(i-1)+d30*y2_rec(i-1)^2*x2_rec(i-1)+d31*y2_rec(i-1)^2*y1_rec(i-1);
x1_rec(i)= a1+a2*x1_rec(i-1)+a3*y1_rec(i-1)+a4*x2_rec(i-1)+a5*y2_rec(i-1)+a6*x1_rec(i-1)^2+a7*x2_rec(i-1)^2+a8*y1_rec(i-1)^2+a9*y2_rec(i-1)^2+a10*x1_rec(i-1)*x2_rec(i-1)+a11*x1_rec(i-1)*y1_rec(i-1)+a12*x1_rec(i-1)*y2_rec(i-1)+a13*x2_rec(i-1)*y1_rec(i-1)+a14*x2_rec(i-1)*y2_rec(i-1)+a15*y1_rec(i-1)*y2_rec(i-1)+a16*x1_rec(i-1)^3+a17*y1_rec(i-1)^3+a18*x2_rec(i-1)^3+a19*y2_rec(i-1)^3+a20*x1_rec(i-1)^2*x2_rec(i-1)+a21*x1_rec(i-1)^2*y1_rec(i-1)+a22*x1_rec(i-1)^2*y2_rec(i-1)+a23*x2_rec(i-1)^2*x1_rec(i-1)+a24*x2_rec(i-1)^2*y1_rec(i-1)+a25*x2_rec(i-1)^2*y2_rec(i-1)+a26*y1_rec(i-1)^2*x1_rec(i-1)+a27*y1_rec(i-1)^2*x2_rec(i-1)+a28*y1_rec(i-1)^2*y2_rec(i-1)+a29*y2_rec(i-1)^2*x1_rec(i-1)+a30*y2_rec(i-1)^2*x2_rec(i-1)+a31*y2_rec(i-1)^2*y1_rec(i-1);
x2_rec(i)= c1+c2*x1_rec(i-1)+c3*y1_rec(i-1)+c4*x2_rec(i-1)+c5*y2_rec(i-1)+c6*x1_rec(i-1)^2+c7*x2_rec(i-1)^2+c8*y1_rec(i-1)^2+c9*y2_rec(i-1)^2+c10*x1_rec(i-1)*x2_rec(i-1)+c11*x1_rec(i-1)*y1_rec(i-1)+c12*x1_rec(i-1)*y2_rec(i-1)+c13*x2_rec(i-1)*y1_rec(i-1)+c14*x2_rec(i-1)*y2_rec(i-1)+c15*y1_rec(i-1)*y2_rec(i-1)+c16*x1_rec(i-1)^3+c17*y1_rec(i-1)^3+c18*x2_rec(i-1)^3+c19*y2_rec(i-1)^3+c20*x1_rec(i-1)^2*x2_rec(i-1)+c21*x1_rec(i-1)^2*y1_rec(i-1)+c22*x1_rec(i-1)^2*y2_rec(i-1)+c23*x2_rec(i-1)^2*x1_rec(i-1)+c24*x2_rec(i-1)^2*y1_rec(i-1)+c25*x2_rec(i-1)^2*y2_rec(i-1)+c26*y1_rec(i-1)^2*x1_rec(i-1)+c27*y1_rec(i-1)^2*x2_rec(i-1)+c28*y1_rec(i-1)^2*y2_rec(i-1)+c29*y2_rec(i-1)^2*x1_rec(i-1)+c30*y2_rec(i-1)^2*x2_rec(i-1)+c31*y2_rec(i-1)^2*y1_rec(i-1);
end
figure
hold on
plot(x1_rec,'Y')
plot(x2_rec,'b')
Rik on 9 Dec 2020
Without a clear description of what 'not working' means, we tend to assume the code will result in an error or an empty plot. Neither is the case here. So either it does work, or the OP should describe what is actually the problem.
With such a large number of numbered variables it is not hard to imagine there is a typo somewhere in there resulting in an unexpected shape of the graph. The first line of code is also a 'code smell'.
Heya :) on 9 Dec 2020
The waves should be like this but I am getting the straight lines.