Last Updated:2022/12/24
The chaotic set (not necessarily attracting) is formed after the first accumulation point (a_∞≈3.570 for the logistic mapping) is reached. In the chaotic region of the logistic map the periodicity re-emerges in periodic windows which are bounded by the accumulation point from the right and by the saddle-node bifurcation from the left. A reverse bifurcation sequence occurs above the accumulation point.
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The
chaotic
set
(not
necessarily
attracting)
is
formed
after
the
first
accumulation
point
(a_∞≈3.570
for
the
logistic
mapping)
is
reached.
In
the
chaotic
region
of
the
logistic
map
the
periodicity
re-emerges
in
periodic
windows
which
are
bounded
by
the
accumulation
point
from
the
right
and
by
the
saddle-node
bifurcation
from
the
left.
A
reverse
bifurcation
sequence
occurs
above
the
accumulation
point.