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Finiteness of attractors and repellers on sectional hyperbolic sets

Published 22 Sep 2013 in math.DS | (1309.5558v1)

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].

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