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arxiv: 1102.2461 · v1 · pith:3LN76OHNnew · submitted 2011-02-11 · 🧮 math.DS

Fast iteration of cocyles over rotations and Computation of hyperbolic bundles

classification 🧮 math.DS
keywords computationalgorithmsbundlescocyclesfasthyperbolicinvariantiteration
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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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