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Computational Complexity of the Logistic Map

control parameter μ
3.7
initial condition
x
0
0.2
iteration steps N
200
output precision p
6
This Demonstration shows the computational space complexity needed to exactly compute the iteration of the logistic equation
x
n+1
=μ
x
n
(1-
x
n
). The initial value of the iteration is
x
0
, with
N
, the number of iterations performed, and
μ
, the bifurcation parameter for the logistic map. Each value
x
n
of the orbit,
n=0,,N
, is computed up to relative error of
-p
10
.
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