• Corpus ID: 240354465

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

@inproceedings{Wang2021SubsystemsWS,
title={Subsystems with shadowing property for \$\mathbb\{Z\}^\{k\}\$-actions},
author={Lin Wang and Xinsheng Wang and Yujun Zhu},
year={2021}
}
• Published 31 October 2021
• Mathematics
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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