How Does Become Chaotic as Increases?

In previous sections, we observed that

is dynamically simple for 0 <= <= 3 but is chaotic for >= 4.

The goal here is to get a picture of how becomes chaotic as increases.

We will accomplish this by understanding the bifurcation diagram of and and it's relationship to and the iterates of .

Next: Follow the "Bifurcations" link in the left margin.


Creator: CJ Kentler
Washington State University
Department of Mathematics
Pullman, Wa. 99164-3113