The R-IFSs and their attractors
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910664412364800 |
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| author | Viet, Hung Nguyen The, Duy Mai Hong, Thanh Vu Thi |
| author_facet | Viet, Hung Nguyen The, Duy Mai Hong, Thanh Vu Thi |
| contents | This paper introduces a new class of iterated function systems (IFSs) called R-IFSs, which include both rotation/reflection maps and contraction maps. The study of R-IFSs is motivated by the recent research direction on enriching IFSs by adding other types of mappings. The paper investigates the existence and properties of the semi-attractor and compact invariant sets of R-IFSs, as well as the class of minimal invariant sets of R-IFSs. The paper also provides a familiar setting that is an invariant set of R-IFS but not an invariant set of any IFS. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_03426 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The R-IFSs and their attractors Viet, Hung Nguyen The, Duy Mai Hong, Thanh Vu Thi Dynamical Systems This paper introduces a new class of iterated function systems (IFSs) called R-IFSs, which include both rotation/reflection maps and contraction maps. The study of R-IFSs is motivated by the recent research direction on enriching IFSs by adding other types of mappings. The paper investigates the existence and properties of the semi-attractor and compact invariant sets of R-IFSs, as well as the class of minimal invariant sets of R-IFSs. The paper also provides a familiar setting that is an invariant set of R-IFS but not an invariant set of any IFS. |
| title | The R-IFSs and their attractors |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2305.03426 |