English

Fast iteration of cocyles over rotations and Computation of hyperbolic bundles

Dynamical Systems 2011-02-15 v1

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.

Keywords

Cite

@article{arxiv.1102.2461,
  title  = {Fast iteration of cocyles over rotations and Computation of hyperbolic bundles},
  author = {Gemma Huguet and Rafael de la Llave and Yannick Sire},
  journal= {arXiv preprint arXiv:1102.2461},
  year   = {2011}
}