• Corpus ID: 118677039

Quasi-Shadowing and Quasi-Stability for Dynamically Coherent Partially Hyperbolic Diffeomorphisms

@article{Hu2014QuasiShadowingAQ,
title={Quasi-Shadowing and Quasi-Stability for Dynamically Coherent Partially Hyperbolic Diffeomorphisms},
author={Huyi Hu and Yunhua Zhou and Yujun Zhu},
journal={arXiv: Dynamical Systems},
year={2014}
}
• Published 1 May 2014
• Mathematics
• arXiv: Dynamical Systems
Let f be a partially hyperbolic diffeomorphism. f is called has the quasi- shadowing property if for any pseudo orbit {xk}k∈Z, there is a sequence {yk}k∈Z tracing it in which yk+1 lies in the local center leaf of f(yk) for any k ∈ Z. f is called topologically quasi-stable if for any homeomorphism g C 0 -close to f, there exist a
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Abstract A partially hyperbolic diffeomorphism $f$ has the quasi-shadowing property if for any pseudo orbit $\{x_{k}\}_{k\in \mathbb{Z}}$, there is a sequence of points $\{y_{k}\}_{k\in \mathbb{Z}}$

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