Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-27T04:23:40.237Z Has data issue: false hasContentIssue false
  • English
  • Français

The topology of hyperbolic attractors on compact surfaces

Published online by Cambridge University Press:  11 September 2006

TODD FISHER
TODD FISHER
Affiliation:
University of Maryland, College Park, MD 20742, USA (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

Suppose $M$ is a compact surface and $\Lambda\subset M$ is a non-trivial mixing hyperbolic attractor for some $f\in\mathrm{Diff}(M)$. We show that if $\Lambda$ is a hyperbolic set for some $g\in\mathrm{Diff}(M)$, then $\Lambda$ is a non-trivial mixing hyperbolic attractor or repeller for $g$.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 5 , October 2006 , pp. 1511 - 1520
Copyright
2006 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)