On the breakdown mechanisms of Fiberwise Hyperbolic Invariant Tori in skew product systems. Numerical and theoretical results.

Series: 
CDSNS Colloquium
Tuesday, March 12, 2013 - 16:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
University of Uppsala
,  
In this talk we will first present several breakdown mechanisms of Uniformly Hyperbolic Invariant Tori (FHIT) in area-preserving skew product systems by means of numerical examples. Among these breakdowns we will see that there are three types: Hyperbolic to elliptic (smooth bifurcation), the Non-smooth breakdown and the Folding breakdown. Later, we will give a theoretical explanation of the folding breakdown. Joint work with Alex Haro.