Invariant Manifolds in Dynamical Systems

Series: 
SIAM Student Seminar
Friday, December 3, 2010 - 13:00
1 hour (actually 50 minutes)
Location: 
Skiles 255
,  
School of Mathematics, Georgia Tech
In this talk, I am going to give a elementary introduction of invariant manifold theory in dynamical systems. I will start with the motivation and definition of invariant manifolds. Then I will discuss how to construct various invariant manifolds of maps and flows. Finally, I will discuss some applications. If time is permitted, I will also discuss a little about invariant foliation.