I feel this is a very basic question, but I seem to be unable to find an answer for (neither by myself nor searching):

The main cardioid is period 1 in its interior, the period-2 bulb, of course, has a period-2 attracting cycle - and their touching point at c=-0.75 is a parabolic period 1. The point belongs with the same "right" to both bulb's boundaries. How/why did it choose to be period-1?

And on the other side, the point c=-1.25 transferring from period-2 to the next bulb. This point is period-2 parabolic.

Is it always the smaller period when two bulbs touch? Or no rule?

In this sense, does the boundary of the main cardioid form a closed curve when considering only points with period-1? And the period-2 bulb then has a "hole" at -0.75.

How many holes has the boundary of a hyperbolic bulb with period, let's say 2000 - is there one smaller periodic bulb attaching, and all others are of larger cycle lengths?




Linkback: https://fractalforums.org/noobs-corner/76/how-does-an-mset-boundary-point-know-which-cycle-length-to-take/3714/

Do you mean how one cycle changes to another cycle thru touching point = root = parabolic point = bond?
https://commons.wikimedia.org/wiki/File:Bifurcation1-2.png
see image and comments/links


HTH