Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-20T00:08:59.636Z Has data issue: false hasContentIssue false
  • English
  • Français

Analytic mixing reparametrizations of irrational flows

Published online by Cambridge University Press:  07 May 2002

BASSAM R. FAYAD
BASSAM R. FAYAD
Affiliation:
Centre de Mathématiques, Ecole Polytechnique, 91128 Palaiseau Cedex, France (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We give an example of a strictly positive analytic reparametrization (or time change) of an irrational flow on \mathbb{T}^3 that is mixing. As an immediate application we obtain perturbations of completely integrable Hamiltonian systems that display many invariant tori on which the restricted dynamics is mixing.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 2 , April 2002 , pp. 437 - 468
Copyright
2002 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.)