On Li--Yorke chaotic transformation groups modulo an ideal
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866914644089634816 |
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| author | Pourattar, Mehrnaz Shirazi, Fatemah Ayatollah Zadeh |
| author_facet | Pourattar, Mehrnaz Shirazi, Fatemah Ayatollah Zadeh |
| contents | In the following text we introduce the notion of chaoticity modulo an ideal in the sense of Li-Yorke in topological transformation semigroups and bring some of its elementary properties. We continue our study by characterizing a class of abelian infinite Li-Yorke chaotic Fort transformation groups and show all of the elements of the above class is co-decomposable to non-Li-Yorke chaotic transformation groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_01569 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On Li--Yorke chaotic transformation groups modulo an ideal Pourattar, Mehrnaz Shirazi, Fatemah Ayatollah Zadeh Dynamical Systems 5H15, 54H20 In the following text we introduce the notion of chaoticity modulo an ideal in the sense of Li-Yorke in topological transformation semigroups and bring some of its elementary properties. We continue our study by characterizing a class of abelian infinite Li-Yorke chaotic Fort transformation groups and show all of the elements of the above class is co-decomposable to non-Li-Yorke chaotic transformation groups. |
| title | On Li--Yorke chaotic transformation groups modulo an ideal |
| topic | Dynamical Systems 5H15, 54H20 |
| url | https://arxiv.org/abs/1808.01569 |