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 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 tent map examples, illustrating differnt dynamical behaviors.
Converging to 0 An apparent 2-cycle A vertical magnification of this Chaos

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