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plotting streamlines / vector fields for systems of ODE
Hi there,

I would like to plot streamlines and/or vector fields for systems of
several odes, by which I mean systems of 3D or more and plots of 2D
or 3D.

I have been able to use routines like quiver, quiver3, streamslice,
streamline, and coneplot, with varying degrees of success, for 2D and
3D systems... the matlab examples always look a lot work better than
my systems!

Now I have some 4D and 5D systems for which I would like to simulate
some trajectories and plot a series of 2D plots for selected pairs of
the variables. I know how to plot several trajectories by selecting
initial conditions and feeding them in ode45 and the like, but what I
am looking for (if available) is a more systematic loop to simulate
trajectories over a meshgrid, together with a visual device to
indicate the direction of motion : arrows in 2D / cones in 3D / a
changing colour scheme to indicate speed would be real nice too.

Is there a way to feed a 5D ode system into streamslice (or
equivalent) and create 2D plots?

Does anyone know examples of use of streamslice other than the "wind"
example found in matlab help?

Thanks to the learned for sharing their knowledge: I have read
several very useful postings and would like to thank participants for
the great spirit of the group.

Patrick

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patrick toche
06-01-05 02:00 AM


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