Translations:Help:SVG for math/8/en

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Trajectories in Phase Spaces

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Orbit of a limit cycle plotted by MATLAB. This image has been transformed from a JPEG version, and its generating source code still remains unknown. This makes it very difficult to reproduce.
Orbit of a limit cycle plotted by MATLAB. This image has been transformed from a JPEG version, and its generating source code still remains unknown. This makes it very difficult to reproduce.

The plot above gives the orbit of a limit cycle in the phase space. This plot requires extensive numerical computations. Hence Matplotlib, MATLAB and Mathematica can do this job. Among them Matplotlib is the most popular in Wikipedia since it is free. Here Gnuplot may not be very useful since it can only simply compute. If one chooses to plot by using Gnuplot for this case, he has to give how to obtain the data file, if any. For example, one asks Gnuplot to give the plot based on an exterior data file:

 plot  "foo.dat" using 1:2 title 'foo'

Here the data file foo.dat should be provided. One may directly upload the original data file, or give the generating source code.