The Mandelbrot Set and Julia Sets

Combinatorics in the Mandelbrot Set - Lavaurs Algorithm

How can we tell if a certain cycle belongs to a disc or a cadrioid? Is there any way to analyze this pattern? There is, an algorithm developed by Lavaurs.

The doubling map identifies cycles on the unit circle.
Here is the algorithm developed by Lavaurs.
The period of the points under the doubling map correspond to the periods of the components of the abstract Mandelbrot set.

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