Oct 8th
Went over chapters 0 to 8. It was fairly basic. Spent some time working on programming the bifurcation diagram for the logistic equation ax(1-x). I think I have it down fairly well conceptually, although I haven't gotten it to graph yet. I tried a few different approaches, which are below. They are not quite done.
Jim says
OK, so I've made an ipython notebook that
plots the logistic map and its
bifurcation diagram. See the attachments.
To run it :
# download .ipynb; then in that folder :
$ ipython notebook pylab=inline
# then in the ipython dashboard click on logistic_jim
I created the logistic_him.html static version was created
from the command line as follows. (I installed pandoc first, a general doc format converter tool - not sure if needed that or not.)
$ ipython nbconvert --to html logistic_jim.ipynb
The next thing to do would be to zoom in on smaller pieces
of the bifurcation diagram to see its fractal nature.
(Try using the same commands I did, with smaller ranges for "a".)
![[paper clip]](/courses/source/wiki_images/paper_clip_tilt.png)
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