Numerical calculation of domains of analyticity for Lindstedt expansions of KAM Tori (Part II).

Series
Dynamical Systems Working Seminar
Time
Friday, October 28, 2016 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 170
Speaker
Adrián P. Bustamante – Georgia Tech
Organizer
Adrian Perez Bustamante
In the first part of the talk(s) we are going to present a way to study numerically the complex domains of invariant Tori for the standar map. The numerical method is based on Padé approximants. For this part we are going to follow the work of C. Falcolini and R. de la LLave.In the second part we are going to present how the numerical method, developed earlier, can be used to study the complex domains of analyticity of invariant KAM Tori for the dissipative standar map. This part is work in progress jointly with R. Calleja (continuation of last talk).