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Date: 21-9-2021
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Date: 14-2-2016
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A piecewise linear, one-dimensional map on the interval exhibiting chaotic dynamics and given by
(1) |
The first few iterations of (1) give
(2) |
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(3) |
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(4) |
where is the initial value, plotted above through five iterations (with increasing iteration number indicated by colors; 1 is red, 2 is yellow, 3 is green, 4 is blue, and 5 is violet) for various values of .
The natural invariant of the tent map is .
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