• 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}
}
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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