I noticed that many hits to my blog, Phase Portrait,
are from people searching for things like "phase portrait
matlab". Unfortunately for them, they get my ramblings
instead. So to help them out, I made this
post about drawing phase portraits in MATLAB.
I echo the content of that post here.
For those who are looking for help drawing
nonlinear phase portraits of ODE systems in MATLAB, I recommend
you click here and check out
pplane and dfield.
Here's a review of dfield and pplane that gives some screen shots.
I've not used dfield, but I've used pplane a lot. It's
a great tool (in new versions of MATLAB, it's a single script file) that gives
a GUI frontend to plot nonlinear ODE phase portraits. It then allows
you to find their equilibrium points and plot trajectories as well as
a number of other fun things. For example, you can Jacobian linearize
a system around and equilibrium point and it will give you the linear
phase portrait as well as the eigenvalues of the linearlized system and
a set of normalized eigenvectors.
Lots of course web pages use pplane (specifically pplane6, for
MATLAB6.x). I recommend you download the software and search for
if you want more information. However, it's VERY EASY TO USE, so I don't
think you'll need much help.