Dyadic Transformation - Relation To Tent Map and Logistic Map

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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