Non-existence of Invariant Circles

Series: 
Dynamical Systems Working Seminar
Friday, February 23, 2018 - 3:00pm
1 hour (actually 50 minutes)
Location: 
Skiles 271
,  
GT Math
Organizer: 
We will present a rigorous proof of non-existence of homotopically non-trivial invariant circles for standard map:x_{n+1}=x_n+y_{n+1}; y_{n+1}=y_n+\frac{k}{2\pi}\sin(2\pi x_n).This a work by J. Mather in 1984.