Local  rigidity of reducibility of analytic quasi-periodic cocycles on   $U(n)$

Xuanji Hou; Jiangong You

doi:10.3934/dcds.2009.24.441

Article Contents

2009, Volume 24, Issue 2: 441-454. Doi: 10.3934/dcds.2009.24.441

This issue Previous Article The spectrum and an index formula for the Neumann $p-$Laplacian and multiple solutions for problems with a crossing nonlinearity Next Article Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum

Local rigidity of reducibility of analytic quasi-periodic cocycles on $U(n)$

Xuanji Hou^1, and
Jiangong You^1,

1.
Department of Mathematics, Nanjing University, Nanjing 210093

Received: March 2008

Revised: October 2008

Published: June 2009

Abstract Related Papers Cited by

Abstract

In this paper, we consider the analytic reducibility problem of an analytic $d-$dimensional quasi-periodic cocycle $(\alpha,\ A)$ on $U(n)$ where $ \alpha$ is a Diophantine vector. We prove that, if the cocycle is conjugated to a constant cocycle $(\alpha,\ C)$ by a measurable conjugacy $(0,\ B)$, then for almost all $C$ it is analytically conjugated to $(\alpha,\ C)$ provided that $A$ is sufficiently close to some constant. Moreover $B$ is actually analytic if it is continuous.

Keywords:

Mathematics Subject Classification: Primary: 37C15; Secondary: 37C05.

Citation:

Article Metrics

HTML views() PDF downloads(63) Cited by(0)

Local rigidity of reducibility of analytic quasi-periodic cocycles on $U(n)$

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Local rigidity of reducibility of analytic quasi-periodic cocycles on $U(n)$

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content