First look at the bifurcation diagram for the quadratic map in the chaotic regime
and bracketing the onset region more tightly
(You might want to enlarge the y-scale or investigate smaller regions around a=ac=3.57 more closely using the mouse on the stopped plot.)
For a < ac there is successive splitting of the (periodic) orbits. For a > ac on the other hand there are discrete bands of chaos that successively merge (as well as windows of periodic states etc.).
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