Circle Map
In mathematics, particularly in dynamical systems theory, an Arnold tongue of finite-parameter family of a circle maps, named after Vladimir Arnold, is a region (with nonempty interior) in the space of parameters where the map has locally-constant rational rotation number. In other words, it is a level set of a rotation number with nonempty interior.
Read more about Circle Map: Standard Circle Map, Mode Locking, Chirikov Standard Map
Famous quotes containing the words circle and/or map:
“Men go out to admire the heights of mountains, the huge waves of the sea, the broadest spans of rivers, the circle of ocean, the revolutions of stars, and leave themselves behind.”
—St. Augustine (354–430)
“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)