N-expansive Flows

Alfonso Artigue; Welington Cordeiro; Maria José Pacífico

doi:10.1016/j.topol.2021.107869

N-expansive Flows

Dynamical Systems 2021-10-25 v3

Authors: Alfonso Artigue , Welington Cordeiro , Maria José Pacífico

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Abstract

We define the concept of $N$ -expansivity for flows and extend some of the results already established for discrete dynamics and for $CW$ -expansive flows. We show examples of $N$ -expansive flows but not expansive, and examples of $CW$ -expansive flows but not $N$ -expansive for any natural number $N$ .} We also define Komuro $N$ -expansivity and prove that on compact surfaces it implies Komuro expansivity.

Keywords

geodesic flow

Cite

@article{arxiv.1901.01980,
  title  = {N-expansive Flows},
  author = {Alfonso Artigue and Welington Cordeiro and Maria José Pacífico},
  journal= {arXiv preprint arXiv:1901.01980},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1507.01198

N-expansive Flows

Abstract

Keywords

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