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arXiv · 1110.3720

A dichotomy for higher dimensional flows

A. Arbieto·C. A. Morales
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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 $C^1$ generic flows whose singularities accumulated by periodic orbits have codimension one. Our result improves \cite{mp1}.

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A. Arbieto, C. A. Morales. 2011-10-17. A dichotomy for higher dimensional flows. https://arxiv.org/abs/1110.3720

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