English

A dichotomy for higher dimensional flows

Dynamical Systems 2011-10-18 v1

Abstract

We analyze the dichotomy between {\em sectional-Axiom A flows} (c.f. \cite{memo}) and flows with points accumulated by periodic orbits of different indices. Indeed, this is proved for C1C^1 generic flows whose singularities accumulated by periodic orbits have codimension one. Our result improves \cite{mp1}.

Keywords

Cite

@article{arxiv.1110.3720,
  title  = {A dichotomy for higher dimensional flows},
  author = {A. Arbieto and C. A. Morales},
  journal= {arXiv preprint arXiv:1110.3720},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T19:21:27.038Z