Hölder stability of diffeomorphisms

Jinpeng An

doi:10.3934/dcds.2009.24.315

Article Contents

2009, Volume 24, Issue 2: 315-329. Doi: 10.3934/dcds.2009.24.315

This issue Previous Article Control and stabilization of a family of Boussinesq systems Next Article Quenched CLT for random toral automorphism

Hölder stability of diffeomorphisms

Jinpeng An^1,

1.
School of Mathematical Sciences, Peking University, Beijing, 100871

Received: June 2008

Revised: November 2008

Published: June 2009

Abstract Related Papers Cited by

Abstract

We prove that a $C^2$ diffeomorphism $f$ of a compact manifold $M$ satisfies Axiom A and the strong transversality condition if and only if it is Hölder stable, that is, any $C^1$ diffeomorphism $g$ of $M$ sufficiently $C^1$ close to $f$ is conjugate to $f$ by a homeomorphism which is Hölder on the whole manifold.

Keywords:

Mathematics Subject Classification: Primary: 37C75, 37D20.

Citation:

Article Metrics

HTML views() PDF downloads(65) Cited by(0)

Hölder stability of diffeomorphisms

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Hölder stability of diffeomorphisms

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content