A dichotomy for higher dimensional flows

preprint2011arXivOpen access

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}.

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