# Limit Cycle

Robert P. Munafo, 1998 Dec 9.

A finite set of points towards which the iterates Z

_{n}converge in an asymptotic manner during iteration. A limit cycle is also called an attractor.

When iteration diverges or is chaotic (failing to diverge or converge) there is no attractor and "limit cycle" is undefined for that iteration.

The number of points in a limit cycle is called the period.

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2012. Mu-ency index