c_{4} = -1.3125... (in the center of the "secondary"
(1/2, 1/2) M-bulb) is periodic point with period 4 .
f_{c4}^{o2} is renormalizable (see the picture to the
left). The critical point has period 2 under iterations of
f_{c4}^{o2}, therefore you see a small "embedded"
homeomorphic copy of J(-1) in the center of the picture. J(-1)
midgets appear in every bulb of "initial" J(-1) set.
f_{c4}^{o4} is renormalizable too (see below) and z = 0 is its superattracting fixed point, therefore the red bulb in the center of J(c4) is a homeomorphic copy of J(0). |
In a similar way one can obtain any (^{m}/_{n})
bifurcation. E.g. this complex (^{1}/_{3},
^{1}/_{2}) J-set is constructed of the two "primary"
(^{1}/_{3}) and
(^{1}/_{2}) J-sets.
At laste the (^{1}/_{2}, ^{1}/_{2},
^{1}/_{2}) Rabbit.