A dichotomy for higher dimensional flows
classification
🧮 math.DS
keywords
flowsaccumulatedcitedichotomyorbitsperiodicanalyzecodimension
read the original 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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