Nonlocally Maximal Hyperbolic Sets for Flows

In 2004, Fisher constructed a map on a 2-disc that admitted a hyperbolic set not contained in any locally maximal hyperbolic set. Furthermore, it was shown that this was an open property, and that it was embeddable into any smooth manifold of dimension greater than one. In the present work we show t...

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Bibliographic Details
Main Author: Petty, Taylor Michael
Format: Others
Published: BYU ScholarsArchive 2015
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/5558
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=6557&context=etd