Robert P. Munafo, 2002 May 27.
A pre-periodic iterate is a value of Z that is in the limit cycle for the value of c being iterated. Given the recurrence relation:
Zi+1 = Zi2 + c
if the iteration has period n, then Z0 is pre-periodic if and only if:
Z0 = Zn
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2020. Mu-ency index
This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2020 Mar 26. s.11