6.D.6. IFS Driven by Dynamical Systems

Logistic Map, s = 4

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?

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