What I want is quite simple but I have not seen it implemented anywhere yet.
I have an explicit map F from the plane into itself. (not an ODE but simply a map)
Then I have a set X, (something like a line segment or a rectangle in the plane) for which I
really need to keep track of the images $F(X), F^2(X), F^3(X)$, and so on.
Is there a way to plot the image of a set in Maple?
Thank you very much for your interests in the question.