Parameterization Methods for Computing Normally Hyperbolic Invariant Tori: some numerical examples

Series
CDSNS Colloquium
Time
Tuesday, January 22, 2013 - 4:00pm for 1 hour (actually 50 minutes)
Location
skills 06
Speaker
Marta Canadell – Universitat de Barcelona and Georgia Tech
Organizer
Marta Canadell
We explain numerical algorithms for the computation of normally hyperbolic invariant manifolds and their invariant bundles, using the parameterization method. The framework leads to solving invariance equations, for which one uses a Newton method adapted to the dynamics and the geometry of the invariant manifolds. We illustrate the algorithms with several examples. The algorithms are inspired in current work with A. Haro and R. de la Llave. This is joint work with Alex Haro.