Singularity Theory for KAM tori: A methodology

Series
CDSNS Colloquium
Time
Monday, January 30, 2012 - 11:05am for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Alex Haro – Univ.. of Barcelona
Organizer
Rafael de la Llave
We present a novel method to find KAM tori in degenerate (nontwist) cases. We also require that the tori thus constructed have a singular Birkhoff normal form. The method provides a natural classification of KAM tori which is based on Singularity Theory.The method also leads to effective algorithms of computation, and we present some preliminary numerical results. This work is in collaboration with R. de la Llave and A. Gonzalez.