Finiteness of attractors and repellers on sectional hyperbolic sets
classification
🧮 math.DS
keywords
attractorshyperbolicrepellerssectionalappearbounddimensionsexplosion
read the original 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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