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:
“It was my heaven’s extremest sphere,
The pale which held that lovely deer;
My joy, my grief, my hope, my love,
Did all within this circle move!”
—Edmund Waller (1606–1687)
“When I had mapped the pond ... I laid a rule on the map lengthwise, and then breadthwise, and found, to my surprise, that the line of greatest length intersected the line of greatest breadth exactly at the point of greatest depth.”
—Henry David Thoreau (1817–1862)