Iterated function: Difference between revisions

Revision as of 19:49, 11 March 2022

Revision as of 12:32, 13 March 2022

Line 1:

{{Use dmy dates|date=May 2019|cs1-dates=y}}

In [[mathematics]], an '''iterated function''' is a function {{math|''X → X''}} (that is, a function from some [[Set (mathematics)|set]] {{mvar|X}} to itself) which is obtained by [[function composition|composing]] another function {{math|''f'' : ''X'' → ''X''}} with itself a certain number of times. The process of repeatedly applying the same function is called [[iteration]]. In this process, starting from some initial number object, the result of applying a given function is fed again in the function as input, and this process is repeated.

Iterated functions are objects of study in [[computer science]], [[fractals]], [[dynamical system]]s, mathematics and [[renormalization group]] physics.