plot complex eigenvalues over time

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Douglas Bowman
Douglas Bowman on 5 Jan 2022
Commented: Chunru on 8 Jan 2022
Given an 1584 x 8 matrix of 8 complex eigenvalues varying over 1584 time steps, I'd like to plot them together in maybe a 3-d plot? This will allow me to see how all eigenvalues change with time, all on one plot.
Thank you for your help
Doug

Answers (1)

Chunru
Chunru on 6 Jan 2022
Edited: Chunru on 8 Jan 2022
n = 20;
x = (3+randn(n,8)) + 1i*(2+randn(n, 8)); % generate some data 20x8 instead of 1584 x 8
cmap = jet(n);
% use different color for different time
figure
hold on
for i=1:n
plot3(real(x(i,:)), imag(x(i, :)), i*ones(1,8), 'o','Color', cmap(i,:));
end
box on
grid on
xlabel('Real'); ylabel('Imag'); zlabel('Time')
view(3)
figure
% Use color to reprenset eigen values
m = 8
m = 8
cmap = jet(m);
% use different color for different time
figure
hold on
for j=1:m
plot3(real(x(:,j)), imag(x(:, j)), (1:n), 'o','Color', cmap(j,:));
end
box on
grid on
xlabel('Real'); ylabel('Imag'); zlabel('Time')
view(3)
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