Shadowing in CR-Dynamical Systems
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918037681078272 |
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| author | Wood, Andrew |
| author_facet | Wood, Andrew |
| contents | A CR-dynamical system is a pair $(X, G)$, where $X$ is a non-empty compact Hausdorff space with uniformity $\mathscr{U}$ and $G$ is a closed relation on $X$. In this paper we introduce the $(i, j)$-shadowing properties in CR-dynamical systems, which generalises the shadowing property from topological dynamical systems $(X, f)$. This extends previous work on shadowing in set-valued dynamical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23089 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shadowing in CR-Dynamical Systems Wood, Andrew Dynamical Systems General Topology A CR-dynamical system is a pair $(X, G)$, where $X$ is a non-empty compact Hausdorff space with uniformity $\mathscr{U}$ and $G$ is a closed relation on $X$. In this paper we introduce the $(i, j)$-shadowing properties in CR-dynamical systems, which generalises the shadowing property from topological dynamical systems $(X, f)$. This extends previous work on shadowing in set-valued dynamical systems. |
| title | Shadowing in CR-Dynamical Systems |
| topic | Dynamical Systems General Topology |
| url | https://arxiv.org/abs/2505.23089 |