Destruction of Invariant Circles in the Standard Map

Series
Research Horizons Seminar
Time
Wednesday, September 18, 2013 - 12:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Adam Fox – School of Math – afox33@math.gatech.edu
Organizer
Robert Rahm
The standard map is a widely studied area-preserving system with application to many natural phenomena. When unperturbed, every orbit of this map lies on an invariant circle. In this talk we will explore what happens to these circles when the system is perturbed, employing both analytical and numerical tools. I will conclude by discussing some active areas of current research.