Period-k critical orbit (and corresponding window) takes place
at gk(ck) = 0 (i.e. intersection of
gk(c) and the x = 0 axis which coincides with
go(c) ). Points 0, ck ,
g2(ck), ..., gk-1(ck) form
this period-k orbit.
Curves g3n(c) (n = 0,1,2,...) intersect at the periodic point c3 = -1.75488 and make a bunch in its vicininy. g3n+1(c) and g3n+2(c) make two more bunches.
Here the central g3n(c) and the left g3n+1(c) bunches are shown near the tangent bifurcation point.
Roots of g3n+1(c) = 0 and g3n+2(c) = 0
are the intersections of the left and the right bunches with x = 0.
Corresponding sequences of critical orbits C(LRL)n (n = 1,2,...)
with periods 3n+1 and C(LRL)nL ones with perods 3n+2
converge to the cusp of the period-3 CLR M-set. We see that there are
no roots of g3n(c) = 0 near the tangent bifurcation point,
therefore we have no period-3n sequence here.
You see below period-10 window and the period-10 C(LRL)3
and period-11 C(LRL)3L critical orbits. Points of
"intermittent" orbits jump consequently between these three