- Series
- CDSNS Colloquium
- Time
- Monday, August 27, 2012 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 06
- Speaker
- M. Capinski – AGH Univ. Krakow and SOM, Gatech
- Organizer
- Rafael de la Llave
We shall present a method which establishes existence of normally
hyperbolic invariant manifolds for maps within a specified domain. The
method can be applied in a non-perturbative setting. The required
conditions follow from bounds on the first derivative of the map, and
are verifiable using rigorous numerics. We show how the method can be
applied for a driven logistic map, and also present examples of proofs
of invariant manifolds in the restricted three body problem.