What is rotation number?

Rotation Number

The rotation number of f is defined in terms of the iterates of F:

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Some articles on rotation number:

Circle Map - Mode Locking
... The limiting behavior in the mode-locked regions is given by the rotation number which is also sometimes referred to as the map winding number ... will all result in a motion such that the rotation number ... region in the bottom-center of the figure correspond to a rotation number of ...

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