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Removing zero Lyapunov exponents

Published online by Cambridge University Press:  02 December 2003

ALEXANDRE T. BARAVIERA  and
CHRISTIAN BONATTI
ALEXANDRE T. BARAVIERA
Affiliation:
Departamento de Matemática, Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brasil (e-mail: baravi@mat.ufrgs.br)
CHRISTIAN BONATTI
Affiliation:
Institut de Mathématique de Bourgogne, UMR 5584 du CNRS, BP 47 870, 21078 Dijon Cedex, France (e-mail: bonatti@u-bourgogne.fr)
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Abstract

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In an explicit family of partially hyperbolic diffeomorphisms of the torus T3, Shub and Wilkinson recently succeeded in perturbing the Lyapunov exponents of the center direction. We present here a local version of their argument, allowing one to perturb the center Lyapunov exponents of any partially hyperbolic system, in any dimension and with arbitrary dimension of the center bundle.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 6 , December 2003 , pp. 1655 - 1670
Copyright
2003 Cambridge University Press