WOLFRAM|DEMONSTRATIONS PROJECT

Three Views of the Logistic Map

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a
2
seed
x
0
0.1
This Demonstration provides three different views of the behavior of the logistic map
x
t+1
=a
x
t
(1-
x
t
)
starting at
x
0
. The power spectrum of the time series at the bottom clearly shows the period-doubling processes and the onset of chaos (the loss of periodicity).