Keywords
topology, hyperbolic attractors, compact surfaces
Abstract
Suppose M is a compact surface and M is a nontrivial mixing hyperbolic attractor for some f 2 Diff(M). We show that if is a hyperbolic set for some g 2 Diff(M), then is a nontrivial mixing hyperbolic attractor or repeller for g.
Original Publication Citation
Ergod. Th. & Dynam. Sys. (26), 26(5), pp 1511-152.
BYU ScholarsArchive Citation
Fisher, Todd L., "The Topology of Hyperbolic Attractors on Compact Surfaces" (2003). Faculty Publications. 489.
https://scholarsarchive.byu.edu/facpub/489
Document Type
Peer-Reviewed Article
Publication Date
2003-06-18
Permanent URL
http://hdl.lib.byu.edu/1877/1388
Publisher
Cambridge University Press, http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=47589
Language
English
College
Physical and Mathematical Sciences
Department
Mathematics
Copyright Status
© 2006 Cambridge University Press
Copyright Use Information
http://lib.byu.edu/about/copyright/