| Contents |
| In this talk we explain a numerical algorithm for the computation of normally hyperbolic invariant tori (NHIT) in families of discrete dynamical systems. The application of the parameterization method leads to solving invariance equations for which we use a Newton-like method adapted to the dynamics and the geometry of the invariant torus and its invariant bundles. The method computes the NHIT and its internal dynamics, which is a priori unknown. We apply the method to several examples, and explore the mechanism of breakdown of invariant tori. |
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