English

Complete invariants and parametrization of expansive Lorenz maps

Dynamical Systems 2021-04-01 v1

Abstract

We obtain the complete conjugacy invariants of expansive Lorenz maps and for any given two expansive Lorenz maps, there are two unique sequences of (βi,αi)(\beta_{i},\alpha_{i}) pairs. In this way, we can define the classification of expansive Lorenz maps. Moreover, we investigate the uniform linearization of expansive Lorenz maps through periodic renormalization.

Keywords

Cite

@article{arxiv.2103.16979,
  title  = {Complete invariants and parametrization of expansive Lorenz maps},
  author = {Yiming Ding and Yun Sun},
  journal= {arXiv preprint arXiv:2103.16979},
  year   = {2021}
}

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26 pages