Topological quasi-stability of partially hyperbolic diffeomorphisms under random perturbations

Yujun Zhu

doi:10.3934/dcds.2014.34.869

Article Contents

2014, Volume 34, Issue 2: 869-882. Doi: 10.3934/dcds.2014.34.869

This issue Previous Article Well-posedness, blow-up phenomena and global existence for the generalized $b$-equation with higher-order nonlinearities and weak dissipation Next Article

Topological quasi-stability of partially hyperbolic diffeomorphisms under random perturbations

Yujun Zhu^1,

1.
College of Mathematics and Information Science, and Hebei Key Laboratory of Computational Mathematics and Applications, Hebei Normal University, Shijiazhuang, 050024

Received: June 30, 2012

Revised: April 30, 2013

Published: January 2014

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Abstract

In this paper, $C^0$ random perturbations of a partially hyperbolic diffeomorphism are considered. It is shown that a partially hyperbolic diffeomorphism is quasi-stable under such perturbations.

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Mathematics Subject Classification: Primary: 37D20; Secondary: 37H99.

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