Fast iteration of cocyles over rotations and Computation of hyperbolic bundles

Details Fast iteration of cocyles over rotations and Computation of hyperbolic bundles Fast iteration of cocyles over rotations and Computation of hyperbolic bundles

2011-02-11

arxiv.org/abs/1102.2461v1

Mathematics

Dynamical Systems

Scientific paper

In this paper, we develop numerical algorithms that use small requirements of
storage and operations for the computation of hyperbolic cocycles over a
rotation. We present fast algorithms for the iteration of the quasi-periodic
cocycles and the computation of the invariant bundles, which is a preliminary
step for the computation of invariant whiskered tori.

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