Recall the
coarse-graining
methods of driving an IFS. Here we use the equal-size bins.
The s = 4.0 logistic map has range 0 ≤ x ≤ 1,
so the four (equal size) bins are
bin 4
3/4 ≤ x ≤ 1
bin 3
1/2 ≤ x < 3/4
bin 2
1/4 ≤ x < 1/2
bin 1
0 ≤ x < 1/4
Here is the driven IFS - not random at all, lots of structure. Can
we understand its pattern?