In mathematics, an iterated function is a function which is composed with itself, possibly ad infinitum, in a process called iteration. In this process, starting from some initial number, the result of applying a given function is fed again in the function as input, and this process is repeated. The sequence of functions that is obtained from this process is called the splinter or the discrete part of the iteration orbit.
Iterated functions are objects of study in computer science, fractals, dynamical systems, mathematics and renormalization group physics.
Read more about Iterated Function: Definition, Abelian Property and Iteration Sequences, Fixed Points, Limiting Behaviour, Fractional Iterates and Flows, and Negative Iterates, Formulae For Fractional Iteration, Conjugacy, Markov Chains, Examples, Means of Study, In Computer Science, Definitions in Terms of Iterated Functions, Lie's Data Transport Equation
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