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) 1987-2017. Mu-ency index
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