Circle Map

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:

    we are the circle of the crazy ladies
    who sit in the lounge of the mental house
    and smile at the smiling woman
    who passes us each a bell,
    Anne Sexton (1928–1974)

    You can always tell a Midwestern couple in Europe because they will be standing in the middle of a busy intersection looking at a wind-blown map and arguing over which way is west. European cities, with their wandering streets and undisciplined alleys, drive Midwesterners practically insane.
    Bill Bryson (b. 1951)