Conjugacy of circle maps to rotations

Dynamical Systems Working Seminar
Friday, March 10, 2017 - 15:00
1 hour (actually 50 minutes)
Skiles 254
GT Math
A classical theorem of Arnold, Moser shows that in analytic  families of maps close to a rotation we can find maps which are smoothly conjugate to rotations. This is one of the first examples of the KAM theory. We aim to present a self-contained version of Moser's proof and also to present some efficient numerical algorithms.