Recall the bifurcation diagram is a
graph of
In dust in the tent we see most points
iterate to -infinity for
Here are some examples of tent map histograms. |
Putting all this and many more histograms, we obtain the full bifurcation diagram for the tent map. |
How much of this structure can be understood from the first few iterates? |
Just as for the tent map, we can compute the bifurcation diagram of the logistic map. |
We shall discover other structures in the logistic bifurcation diagram. But for now point out how, just as with the tent map, the first few iterates determine the main features of the logistic bifurcation diagram. |
Return to Deterministic Chaos.