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TISEAN package: Difference between revisions
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→Finding Unstable Periodic Orbits: updated with plotting code
(→Tutorials: adding Finding unstable periodic orbits tutorial) |
(→Finding Unstable Periodic Orbits: updated with plotting code) |
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{{Code|Finding unstable periodic orbits|<syntaxhighlight lang="octave" style="font-size:13px"> | {{Code|Finding unstable periodic orbits|<syntaxhighlight lang="octave" style="font-size:13px"> | ||
# Create maps | # Create maps | ||
hen | hen = henon (1000); | ||
hen = hen + std (hen) * 0.02 .* (-6 + sum (rand ([size(hen), 12]), 3)); | |||
# Find orbits | # Find orbits | ||
[lengths, data] = upo(hen(:,1), 2, 'p',6,'v',0.1, 'n', 100); | |||
</syntaxhighlight>}} | </syntaxhighlight>}} | ||
The vector {{Codeline|lengths}} contains the size of each of the found orbits and {{Codeline|data}} contains their coordinates. To obtain delay coordinates and plot these orbits onto the original data we will use {{Codeline|upoembed}}. | |||
{{Code|Plotting unstable periodic orbits|<syntaxhighlight lang="octave" style="font-size:13px"> | |||
# Create delay coordinates for the orbits and data | |||
up = upoembed (lengths, data, 1); | |||
delay_hen = delay (hen(:,1)); | |||
# Plot all of the data | |||
plot (delay_hen(:,1), delay_hen(:,2), 'r.;Noisy Henon;','markersize',2,... | |||
up{4}(:,1), up{4}(:,2),'gx;Fixed Point;','markersize',20,'linewidth',1, ... | |||
up{3}(:,1), up{3}(:,2),'b+;Period 2;','markersize',20,'linewidth',1, ... | |||
up{2}(:,1), up{2}(:,2),'ms;Period 6;','markersize',20,'linewidth',1, ... | |||
up{1}(:,1), up{1}(:,2),'cs;Period 6;','markersize',20,'linewidth',1); | |||
</syntaxhighlight>}} | |||
The plotting options are passed to make the orbits more visible. | |||
=== Nonlinear Prediction === | === Nonlinear Prediction === | ||