Destruction of Invariant Circles in the Standard Map

Series: 
Research Horizons Seminar
Wednesday, September 18, 2013 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
School of Math
,  
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.