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

Dynamical Systems Working Seminar
Friday, October 28, 2016 - 3:05pm
1 hour (actually 50 minutes)
Skiles 170
Georgia Tech
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).