plot complex eigenvalues over time

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

Answer 1

[Chunru]

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)

[Douglas Bowman]

Thank you Chunru. I have modified your code for my system and it works:

n=1584
cmap = jet(n)
% use different color for different time
figure
hold on
for i=1:n
    plot3(real(eigs_Asys(i,:)),imag(eigs_Asys(i,:)), i*ones(1,8), '.','Color', cmap(i,:));
    %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('Sample')
view(3)

Instead of using different colors for different time I'd like to use different color for the 8 different eigenvalues. How can I modify the code to perform to do this?

Thanks, Doug

[Chunru]

See above.