This question has essentially been asked before How to plot the phase portrait for $4\times 4$ ODE system?
Another good description is at https://math.stackexchange.com/questions/1379460/plotting-a-4d-dynamical-system
The question is even relevant for-3-times-3-ode-systems, since the output of
StreamPlot3d is hard to read
Now we can solve any system with NDSolve, and it will have say two fixed points. One could plot solutions for a grid of initial points, and select a number, say 4 solutions which converge to each of the fixed points. Then, `ParametriPlot' some two dimensional choice of coordinates for these eight trajectories. Granted, the 4-dimensional paths might cross in two dimensions, but with luck, the two dimensional projection might be a visually satisfying illustration of the convergence to different fixed points, which is what I need.
Two questions: 1) is the above complete nonsense?
- There is also a package https://github.com/mekeetsa/StreamPlot4d which I haven't been able to install yet. I tried to save it in the AddOns, but Mathematica 13.3 refused to unpack the zip file there
I dragged, unpacked it and executed it the m.file in the current directory, but then
Get::path: Directory in $Path is not a string.
There are no instructions in the package on how to install it, it must be too simple :(