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

CDSNS Colloquium
Tuesday, January 22, 2013 - 4:00pm
1 hour (actually 50 minutes)
skills 06
Universitat de Barcelona and Georgia Tech
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.