Singularity Theory for KAM tori: A methodology

CDSNS Colloquium
Monday, January 30, 2012 - 11:05am
1 hour (actually 50 minutes)
Skiles 006
Univ.. of Barcelona
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.