Tent Map
المؤلف:
المرجع الالكتروني للمعلوماتيه
المصدر:
www.almerja.com
الجزء والصفحة:
...
22-12-2021
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Tent Map
A piecewise linear, one-dimensional map on the interval ![[0,1]](https://mathworld.wolfram.com/images/equations/TentMap/Inline1.gif)
exhibiting chaotic dynamics and given by
 |
(1)
|
The first few iterations of (1) give
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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