Reverse Bifurcation

Robert P. Munafo, 2002 Apr 18.


Normally, bifurcation in rotational symmetry around islands occurs in a pattern that doubles as you get in closer to the island. However, with special effort, one can also find features in which nested embedded Julia sets appear to bifurcate in the reverse order — with doubling that occurs as you go out. To the best of my knowledge, reverse bifurcation in embedded Julia sets was discovered by Jonathan Leavitt.

A fine example can be seen here:



-1.74928893611435556407228 + 0 i  6.6e-20
-1.74928893611435556407228 + 0 i @ 6.6e-20



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From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo.     Mu-ency index


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