Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems
We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. We prove some implications of these two properties for set-valued functions and generalize some results from a single-valued case to a set-valued case. We also...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/5541105 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560081360650240 |
|---|---|
| author | Koon Sang Wong Zabidin Salleh |
| author_facet | Koon Sang Wong Zabidin Salleh |
| author_sort | Koon Sang Wong |
| collection | DOAJ |
| description | We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. We prove some implications of these two properties for set-valued functions and generalize some results from a single-valued case to a set-valued case. We also show that both properties of set-valued dynamical systems are equivalence for any compact intervals. |
| format | Article |
| id | doaj-art-fad61530e0ae42b79e3b2fe267264b3a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-fad61530e0ae42b79e3b2fe267264b3a2025-02-03T01:28:31ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/55411055541105Topologically Transitive and Mixing Properties of Set-Valued Dynamical SystemsKoon Sang Wong0Zabidin Salleh1Department of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, MalaysiaDepartment of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, MalaysiaWe introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. We prove some implications of these two properties for set-valued functions and generalize some results from a single-valued case to a set-valued case. We also show that both properties of set-valued dynamical systems are equivalence for any compact intervals.http://dx.doi.org/10.1155/2021/5541105 |
| spellingShingle | Koon Sang Wong Zabidin Salleh Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems Abstract and Applied Analysis |
| title | Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems |
| title_full | Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems |
| title_fullStr | Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems |
| title_full_unstemmed | Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems |
| title_short | Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems |
| title_sort | topologically transitive and mixing properties of set valued dynamical systems |
| url | http://dx.doi.org/10.1155/2021/5541105 |
| work_keys_str_mv | AT koonsangwong topologicallytransitiveandmixingpropertiesofsetvalueddynamicalsystems AT zabidinsalleh topologicallytransitiveandmixingpropertiesofsetvalueddynamicalsystems |