/bifurcation-diagram

Animation of bifurcation diagram as "a" changes of n ↦ re⁻ⁿⁿ(a-e⁻ⁿⁿ)

Primary LanguagePython

Bifurcation diagram

Animation as "a" changes of n ↦ re-n2(a-e-n2)

Licence: public domain

Files:

bifurcation-make-images.py

This is the python script for generating the images as a sequence of png files in a subdirectory "vid". It is Python 2.7 compatible but should be run with the 2.7 compatible version of the Pypy jit-compiler so that it completes in ~30 minutes rather than 30 hours. Requires the "Pillow" fork of the "PIL" image library. Tested on Ubuntu -- and uses Ubuntu's location of its fonts. The script is dense and not very readable because it was created by stepwise refinement to improve visualisation of the animation.

bifurcation-add-reverse.sh

Bash script to add the reversed sequence to the images, created from the existing images, so that the animation runs forward then backwards in a loop.

bifurcation-make-vid.sh

Bash script to convert png image sequence to mp4 video. Needs the "real" ffmpeg that's in most very recent Linux distros but not the "fake" ffmpeg that's a front-end to avconv that was in many distros until just recently.