I was doing some recreational math about the logistic map. (If you're not familiar with what the logistic map is, here are some links you can check out)
https://www.youtube.com/watch?v=ETrYE4MdoLQ
https://en.wikipedia.org/wiki/Logistic_map
I have seen pictures that show the convergence of populations with different values of r (or lambda) and have observed the bifurcation behavior. However, of all the maps I have seen, none of them include the effects with an r value greater than 4. Why is this? And can anyone provide a map like this? I'm really curious to see what happens. Thanks.
I don't know much but this paper says that the logistic map diverges if the parameter is greater than 4 (or less than -2).