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GECCO
2009
Springer

Solving iterated functions using genetic programming

8 years 8 months ago
Solving iterated functions using genetic programming
An iterated function f(x) is a function that when composed with itself, produces a given expression f(f(x))=g(x). Iterated functions are essential constructs in fractal theory and dynamical systems, but few analysis techniques exist for solving them analytically. Here we propose using genetic programming to find analytical solutions to iterated functions of arbitrary form. We demonstrate this technique on the notoriously hard iterated function problem of finding f(x) such that f(f(x))=x2
Michael D. Schmidt, Hod Lipson
Added 17 Feb 2011
Updated 17 Feb 2011
Type Journal
Year 2009
Where GECCO
Authors Michael D. Schmidt, Hod Lipson
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