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arXiv · 1102.2461

Fast iteration of cocyles over rotations and Computation of hyperbolic bundles

Gemma Huguet·Rafael de la Llave·Yannick Sire
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Abstract

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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Gemma Huguet, Rafael de la Llave, Yannick Sire. 2011-02-11. Fast iteration of cocyles over rotations and Computation of hyperbolic bundles. https://arxiv.org/abs/1102.2461

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