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
Famous quotes containing the words relation to, relation, tent and/or map:
“It would be disingenuous, however, not to point out that some things are considered as morally certain, that is, as having sufficient certainty for application to ordinary life, even though they may be uncertain in relation to the absolute power of God.”
—René Descartes (1596–1650)
“Among the most valuable but least appreciated experiences parenthood can provide are the opportunities it offers for exploring, reliving, and resolving one’s own childhood problems in the context of one’s relation to one’s child.”
—Bruno Bettelheim (20th century)
“I never saw a man who looked
With such a wistful eye
Upon that little tent of blue
Which prisoners call the sky.”
—Oscar Wilde (1854–1900)
“In my writing I am acting as a map maker, an explorer of psychic areas ... a cosmonaut of inner space, and I see no point in exploring areas that have already been thoroughly surveyed.”
—William Burroughs (b. 1914)