Talk:Rotation number

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[edit] Does it really makes sense?

Does it really make sense to define the rotation number for a map that is not on the circle?--Pokipsy76 (talk) 10:28, 5 March 2008 (UTC)

It's supposed to be a generalization of the more traditional idea of rotation number for a circle. See [1] for example. VectorPosse (talk) 20:01, 5 March 2008 (UTC)
Ok, the concept can be generalized but the formula in the article:
\omega(x)=\lim_{n\to\infty} \frac{f^n(x)-x}{n}.
is incorrect for the definition of the rotation number on the torus.--Pokipsy76 (talk) 16:43, 6 March 2008 (UTC)