Conjugacy of circle maps to rotations II (numerical implementation).

Dynamical Systems Working Seminar
Friday, April 21, 2017 - 15:00
1 hour (actually 50 minutes)
Skiles 254
Georgia Tech
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 an efficient numerical algorithm, and its implementation, which approximate the conjugations given by the Theorem.