Conjugacy of circle maps to rotations

Series
Dynamical Systems Working Seminar
Time
Friday, March 10, 2017 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 254
Speaker
Rafael de la Llave – GT Math
Organizer
Rafael de la Llave
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.