Chirikov Standard Map
The Chirikov standard map is related to the circle map, having similar recurrence relations, which may be written as
with both iterates taken modulo 1. In essence, the standard map introduces a momentum which is allowed to dynamically vary, rather than being forced fixed, as it is in the circle map. The standard map is studied in physics by means of the kicked rotor Hamiltonian.
Read more about this topic: Circle Map
Famous quotes containing the words standard and/or map:
“This unlettered mans speaking and writing are standard English. Some words and phrases deemed vulgarisms and Americanisms before, he has made standard American; such as It will pay. It suggests that the one great rule of compositionand if I were a professor of rhetoric I should insist on thisis, to speak the truth. This first, this second, this third; pebbles in your mouth or not. This demands earnestness and manhood chiefly.”
—Henry David Thoreau (18171862)
“If all the ways I have been along were marked on a map and joined up with a line, it might represent a minotaur.”
—Pablo Picasso (18811973)