paper

A dichotomy for higher dimensional flows

arXiv:1110.3720

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 generic flows whose singularities accumulated by periodic orbits have codimension one. Our result improves \cite{mp1}.

arXiv comment10 pages