Zip shift Space
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917924986421248 |
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| author | Lamei, Sanaz Mehdipour, Pouya |
| author_facet | Lamei, Sanaz Mehdipour, Pouya |
| contents | We introduce a new extension in symbolic dynamics on two sets of alphabets, called the zip shift space. In finite case, it represents a finite-to-1 local homeomorphism called zip shift map. Such extension, offers a conjugacy between some endomorphisms and some zip shift map over two-sided space with finite sets of alphabets. As an application, the topological conjugacy of an N-to-1 uniformly hyperbolic horseshoe map with a zip shift map and its orbit structure is investigated. Moreover, the pre-image studies over zip shift space and the concepts of stable and unstable sets and homoclinic orbits, with a precise description for N-to-1 horseshoe are illustrated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11272 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Zip shift Space Lamei, Sanaz Mehdipour, Pouya Dynamical Systems Mathematical Physics Chaotic Dynamics Primary 37B10, Secondary 37D05, 37C29 We introduce a new extension in symbolic dynamics on two sets of alphabets, called the zip shift space. In finite case, it represents a finite-to-1 local homeomorphism called zip shift map. Such extension, offers a conjugacy between some endomorphisms and some zip shift map over two-sided space with finite sets of alphabets. As an application, the topological conjugacy of an N-to-1 uniformly hyperbolic horseshoe map with a zip shift map and its orbit structure is investigated. Moreover, the pre-image studies over zip shift space and the concepts of stable and unstable sets and homoclinic orbits, with a precise description for N-to-1 horseshoe are illustrated. |
| title | Zip shift Space |
| topic | Dynamical Systems Mathematical Physics Chaotic Dynamics Primary 37B10, Secondary 37D05, 37C29 |
| url | https://arxiv.org/abs/2502.11272 |