There are some issues:
- you are not capturing/saving every value of G. You probably want to use loop counter j. G(j) = 2.9+n;
- You are saving x using loop counter i. I think you want to use loop counter j.
- When plotting, MATLAB treats columns as series, not rows. If you want to plot G vs x, you need your series data to be in columns (assign x to a column in xnew, not a row). Same goes for G - series value goes in corresponding column. Also means swapping your preallocation dimensions - zeros(size-1,101).
- The output of the second for loop is a vector. You are getting an error on the assignment because of that. Your preallocation of xnew suggests you need to specify what rows and column to assign x to: xnew(:,j) = x;
- There is a mismatch between what the size of x is, and what the size of xnew is. You likely don't want to include the initial value for x, so when allocating to xnew, use xnew(:,j) = x(2:end)
Try this:
% Chaos Theory - Mapping Chaotic Behavior
n = 0;
size = 100; % Size of chaotic array
x = 0.5; % Initial value
xnew = zeros(size-1,101); %Initializes Array
for j = 1:101
G(j) = 2.9+n;
for i = 1:size-1
x(i+1) = G(j)*x(i)*(1-x(i)); % Mapping Equation
end
xnew(:,j) = x(2:end);
n = n + 0.01;
end
plot(G,xnew,'r.')
I get this figure:
