Relation To Tent Map and Logistic Map
The dyadic transformation is topologically conjugate to :
- the unit-height tent map
- the chaotic r=4 case of the logistic map.
The r=4 case of the logistic map is ; this is related to the bit shift map in variable x by
- .
There is semi-conjugacy between the dyadic transformation (here named doubling map) and the quadratic polynomial.
Read more about this topic: Dyadic Transformation
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