Deterministic Chaos

6.D.2. Time Series

A time series plot of a sequence x₀, x₁, x₂, x₃, ... consits of plotting the points

(0, x₀), (1, x₁), (2, x₂), (3, x₃), ...

Some kinds of time patterns are easily visible with such plots; others are not. Nevertheless, this is the standard representation of EKG, EEG, financial, seismological, and many other kinds of data.

Click on the picture to see how the graphical iteration (left window) of the Tent Map generates the time series graph (right window).

To illustrate the sorts of things we can learn from a time series, here are some time series generated by Tent Maps for some different s values.

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