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Fig.1 illustrates stretching and folding
transformations for the quadratic maps
fc (for example the Myrberg-Feigenbaum point c =
-1.401155
is chosen). The segment Ic = [-x2 ,
x2] is mapped into itself (here x2
= 1/2 + (1/4 -
c)1/2 is the right repelling fixed point). Points outside
Ic go to infinity.
We
see that after one application of fc , there are no
points in [-x2 , c). The segment
(c2+c,
x2] is stretched every iteration. Points leave it and never
return back. Thus eventually
all points from Ic come into
[c, c2+c] attractor, bounded by the g1(c)
=
c and g2(c) = c2+c curves.
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