# Frequency Distribution of the Logistic Map

Frequency Distribution of the Logistic Map

The logistic map is a typical example for dynamical transitions between regular, laminar, and chaotic behavior of a dynamical system. The evolution of the time series depends on the control parameter . The time series is defined by the iterative map =a(1-).

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n+1

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The frequency distribution shows the frequency of occurrence of different values of the resulting time series.

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Although the time series changes in the fixed range for different initial values , the frequency distribution (outside the fixed points) stays approximately the same.

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