Period Doubling Bifurcation
Robert P. Munafo, 2002 Apr 18.
As you proceed along the real axis. starting at the continent seed R2a and moving through R2.1/2a, R2.1/2.1/2a and so on, the period of the iterates of your current point keeps doubling. Within R2a the period is 1, within R2.1/2a the period is 2, within R2.1/2.1/2a the period is 4, and so on.
This phenomenon is found in all mu-units. Due to period scaling, every mu-unit has a period-doubling sequence with periods equal to powers of 2 times the period of the mu-unit's owner.
Period doubling bifurcation is not the same as the doubling of rotational symmetry in visual features. See Bifurcation, external angle.
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.
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