Finiteness of attractors and repellers on sectional hyperbolic sets

Abstract

We obtain an upper bound for the number of attractors and repellers that can appear from small perturbations of a sectional hyperbolic set. This extends results from [Sectional-Anosov flows in higher dimensions] and [The explosion of singular-hyperbolic attractors].

arXiv commentarXiv admin note: substantial text overlap with arXiv:1308.6597