6.D.6. IFS Driven by Dynamical Systems

Exclusions for the s = 4 Logistic Map

Now suppose we drive the IFS randomly, except that none of the s = 4 logistic map forbidden combinations is allowed. We get the picture on the left.

The left picture looks very much like the right picture, the IFS driven by the s = 4 logistic map, with equal-size bins.

Even though this logistic map is chaotic, it is very simple, at least in terms of the driven IFS.

Imposing eight forbidden combinations completely determines the driven IFS.

In a moment we shall see what characteristic of the s = 4.0 logistic map gives this property.

Return to IFS Driven by Dynamical Systems.