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Fig. 5.23 Display of the distance matrix from the synthetic data, providing a quantitative
measure for the distances between states at particular times; blue colors indicate small
distances and red colors represent large distances.
t = 0.01 : 0.05 : 50;
y = x(1:5:5000,1);
m = 3; tau = 2;
N = length(y);
N2 = N - tau*(m - 1);
h e original data series had a length of 5,000 data points, reduced to 1,000
data points (equivalent to 50 seconds), but because of the time delay method
the reconstructed phase space trajectory has a length of 996 data points. We
can create the phase space trajectory with
for mi = 1:m
xe(:,mi) = y([1:N2] + tau*(mi-1));
end
We can accelerate the pair-wise test between each pairs of points on the
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