Multiple renormalization. Shaggy midgets

In the vicinity of the M3 midget the map fco3 is renormalizable, therefore for c = A you see Cauliflower-like J(A) midget (compare it with the J(0.35) set to the right).
Moreover for c = A the map fAo23 is renormalizable too, therefore we see the tiny black circle of the J(0) midget on the left picture and cardioid of the M23 midget on the parameter plane (at the top of the page to the right). Note, that filaments of these two midgets are similar.

At last the point B lies in one more M23 midget and the J(C) set below is pure Cantor dust.
Note, that global dendrite-like structure of the J(A) map below is similar to e.g. the J(-1.54369) set.


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updated 14 Sep 2013