I'm dealing with an iterated function (logistic map) where f(x)=s*x*(1-x) where the s is a general parameter between 1 and 4 inclusive, and it's fourth return map, or f(f(f(f(x)))) or f^(x).
What I'm trying to do hinges on evaluating this:
all *(1/s) as the important answer.
When I set a value for s, everything runs smoothly but getting a formula in terms of s is the goal and I don't know what to make of this as I'm very new to Maple and can only do the basics so far. I've tried expanding, simplifying, and using assumptions on s but nothing seems to work. Also, I didn't know how to tag this so sorry for any confusion.
Any tips or help would be greatly appreciated