Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center

Keith Burns; Federico Rodriguez Hertz; María Alejandra Rodriguez Hertz; Anna Talitskaya; Raúl Ures

doi:10.3934/dcds.2008.22.75

Article Contents

2008, Volume 22, Issue 1&2: 75-88. Doi: 10.3934/dcds.2008.22.75

This issue Previous Article Chaotic and nonchaotic mushrooms Next Article Dynamical coherence and center bunching

Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center

1.
Department of Mathematics, Northwestern University, Evanston, IL 60208-2730
2.
IMERL-Facultad de Ingeniería, Universidad de la República, ulio Herrera y Reissig 565, CC 30, 11300 Montevideo
3.
IMERL-Facultad de Ingeniería, Universidad de la República, CC 30 Montevideo

Received: July 31, 2007

Revised: January 31, 2008

Published: February 2008

Abstract Related Papers Cited by

Abstract

It is shown that stable accessibility property is $C^r$-dense among partially hyperbolic diffeomorphisms with one-dimensional center bundle, for $r \geq 2$, volume preserving or not. This establishes a conjecture by Pugh and Shub for these systems.

Keywords:

Mathematics Subject Classification: Primary: 37D25, Secondary: 37C05.

Citation:

Article Metrics

HTML views() PDF downloads(151) Cited by(0)

Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content