• Corpus ID: 240354465

Subsystems with shadowing property for $\mathbb{Z}^{k}$-actions

  title={Subsystems with shadowing property for \$\mathbb\{Z\}^\{k\}\$-actions},
  author={Lin Wang and Xinsheng Wang and Yujun Zhu},
In this paper, subsystems with shadowing property for Z-actions are investigated. Let α be a continuous Z-action on a compact metric space X. We introduce the notions of pseudo orbit and shadowing property for α along subsets, particularly subspaces, of R. Combining with another important property “expansiveness” for subsystems of α which was introduced and systematically investigated by Boyle and Lind in [4], we show that if α has the shadowing property and is expansive along a subspace V of R… 


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