Pre-Periodic Point  

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

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