Home /  Hamiltonian Seminar: Analytic invariant curves for analytic twist map

Seminar

Hamiltonian Seminar: Analytic invariant curves for analytic twist map October 19, 2018 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium
Speaker(s) Abed Bounemoura (Université de Paris IX (Paris-Dauphine))
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

Yoccoz proved that Bruno's arithmetic condition is optimal for the analytic linearization of a circle diffeomorphism close to a rotation. We will explain how to use this result to prove that the same condition is optimal for the analytic preservation of quasi-periodic invariant curves of twists maps, as well as new questions in this context. We will also discuss partial results in higher dimension.

No Notes/Supplements Uploaded No Video Files Uploaded