from which is defined the iteration x, f(x), f(f(x)), f(f(f(x))), …
for any element x in set X. Thus a new function F : X × N → X
is created by F(x,t) = ft(x)
where N is the set of natural numbers. The construct that makes F from f is, under certain circumstances, equivalent with the construct of primitive recursion. Iterated maps are used to model the dynamical behavior of computers (for example, by iterating a next state function) and physical systems (for example, a neurone firing), and to generate fractals.
"iterated map." A Dictionary of Computing. . Encyclopedia.com. (August 21, 2018). http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/iterated-map
"iterated map." A Dictionary of Computing. . Retrieved August 21, 2018 from Encyclopedia.com: http://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/iterated-map