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:
“The foregoing generations beheld God and nature face to face; we, through their eyes. Why should not we also enjoy an original relation to the universe? Why should not we have a poetry and philosophy of insight and not of tradition, and a religion by revelation to us, and not the history of theirs?”
—Ralph Waldo Emerson (18031882)
“Much poetry seems to be aware of its situation in time and of its relation to the metronome, the clock, and the calendar. ... The season or month is there to be felt; the day is there to be seized. Poems beginning When are much more numerous than those beginning Where of If. As the meter is running, the recurrent message tapped out by the passing of measured time is mortality.”
—William Harmon (b. 1938)
“The rivers tent is broken; the last fingers of leaf
Clutch and sink into the wet bank. The wind
Crosses the brown land, unheard. The nymphs are departed.
Sweet Thames, run softly, till I end my song.
The river bears no empty bottles, sandwich papers,
Silk handkerchiefs, cardboard boxes, cigarette ends
Or other testimony of summer nights.”
—T.S. (Thomas Stearns)
“Unless, governor, teacher inspector, visitor,
This map becomes their window and these windows
That open on their lives like crouching tombs
Break, O break open,”
—Stephen Spender (19091995)