A return map plot of a sequence x0, x1, x2, x3, ... consits of plotting the points
Click on the picture below to see how the
graphical iteration
(left window) of the Tent Map generates the return map (right window).
Recall in our presentation of graphical iteration, the pair of thick green lines connects
To illustrate the sorts of things we can learn from a return map, here are some time series (left) and return maps (right).
Above are the time series (left) and return map (right) of a uniform random sequence of 200 points. |
Above are the time series (left) and return map (right) of a chaotic tent map. Does the return map surprise you? later we'll see why this is the shape it takes. |
Above are the time series (left) and return map (right) of the average of two chaotic tent maps. |
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