A Newton-like Method for Computing Normally Hyperbolic Invariant Tori

Series
Dynamical Systems Working Seminar
Time
Friday, February 16, 2018 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 271
Speaker
Yian Yao – GT Math
Organizer
Jiaqi Yang
I will report on the parameterization method for computing normally hyperbolic invariant tori(NHIT) for diffeomorphisms. To this end, a Newton-like method for solving the invariance equation based on the graph transform method will be presented with details. Some notes on numerical implementations will also be included if time allows. This is a work by Marta Canadell and Alex Haro.