Generating Bifurcation Animations

Question

https://en.wikipedia.org/wiki/File:Hopf-bif.gif

Does anyone know how this animation was produced? I could make it by stitching together snapshots (what I'm doing) but this seems primitive, especially for how nice this animation looks. Any ideas?

Answer 1

If I were to approach this problem, I would use a for-loop in Matlab to generate all of the frames, each of which I would automatically save as an image in memory, and which I would then "stitch" together into a video object, which I would export as an animation. This would make the process of doing it manually into a 30-second task, rather than an hour-long one. I'm also sure it could be done in Octave instead of Matlab, if you don't have access to a license.

Answer 2

This is the Hopf Bifurcation in the Selkov model, lent from Mathematica Demonstartion >>>here

See reference also directly >>>here

Answer 3

IMHO : Convert sequence of pgm images into animated gif. You can use bash and ImageMagic like here