Conference abstracts

Session B1 - Computational Dynamics

July 14, 14:30 ~ 15:00

Parameterization Methods for computing Normally Hyperbolic Invariant Manifolds

Àlex Haro

Universitat de Barcelona, Spain   -   alex@maia.ub.es

We present a methodology for the computation of normally hyperbolic invariant tori in families of dynamical systems. The application of the parameterization method leads to solving invariance equations for which we use Newton-like method adapted to the dynamics and the geometry of the invariant manifold and its invariant bundles. The method computes the NHIT and its internal dynamics. We apply the method to several examples, and explore some mechanisms of breakdown of invariant tori. This is a joint work with Marta Canadell.

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