Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-24T20:29:24.632Z Has data issue: false hasContentIssue false
  • English
  • Français

A dichotomy for a two-parameter piecewise rotation

Published online by Cambridge University Press:  20 June 2003

MICHAEL BOSHERNITZAN  and
AREK GOETZ
MICHAEL BOSHERNITZAN
Affiliation:
Department of Mathematics, Rice University, 6100 S. Main St., Houston, TX 77005-1892, USA (e-mail: [email protected])
AREK GOETZ
Affiliation:
Department of Mathematics, San Francisco State University, 1600 Holloway Avenue, San Francisco, CA 94132, USA (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We investigate a basic system T of two rotations with a common angle of rotation. Using a new idea, we prove that, except for an invertible T, the system T must have a global attractor and a global repeller. We give a specific condition for both cases.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 3 , June 2003 , pp. 759 - 770
Copyright
2003 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.)