The rotation number of f is defined in terms of the iterates of F:
Henri Poincaré proved that the limit exists and is independent of the choice of the starting point x. The lift F is unique modulo integers, therefore the rotation number is a well-defined element of R/Z. Intuitively, it measures the average rotation angle along the orbits of f.
Other articles related to "rotation number, number":
... limiting behavior in the mode-locked regions is given by the rotation number which is also sometimes referred to as the map winding number ... of (K,Ω) in one of these regions will all result in a motion such that the rotation number ... of the figure correspond to a rotation number of ...
Famous quotes containing the words number and/or rotation:
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