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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])
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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

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