On chaotic dynamics of the minimal centre of attraction of discrete amenable group actions.
Saved in:
| Title: | On chaotic dynamics of the minimal centre of attraction of discrete amenable group actions. |
|---|---|
| Authors: | Yin, Jiandong1 (AUTHOR) jiandongyin@ncu.edu.cn, Zhou, Yating1 (AUTHOR) |
| Source: | Dynamical Systems: An International Journal. Mar2025, Vol. 40 Issue 1, p1-22. 22p. |
| Subjects: | Infinite groups, Point set theory, Compact spaces (Topology), Mathematics |
| Abstract: | Let X be a compact metric space, G be a countable discrete infinite amenable group continuously acting on X and $ \mathcal {F} $ F be a Følner sequence of G. In this paper, we acquire some ergodic properties of the discrete amenable group action $ (X, G) $ (X , G). By virtue of these properties, we prove the existence of syndetic sensitivity of the minimal $ \mathcal {F} $ F -centre of attraction of a point $ x\in X $ x ∈ X provided that the minimal $ \mathcal {F} $ F -centre of attraction of x is not S-generic and admits a dense set of quasi-weakly almost periodic points relative to $ \mathcal {F} $ F of $ (X, G) $ (X , G). The presented results enhance some main results of [Z. Chen and X. Dai, Chaotic dynamics of minimal centre of attraction of discrete amenable group actions, J. Math. Anal. Appl. 456 (2017), pp. 1397–1414.]. [ABSTRACT FROM AUTHOR] |
| Copyright of Dynamical Systems: An International Journal is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
|
Full text is not displayed to guests.
Login for full access.
|
|
| FullText | Links: – Type: pdflink Text: Availability: 1 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 182791285 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: On chaotic dynamics of the minimal centre of attraction of discrete amenable group actions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yin%2C+Jiandong%22">Yin, Jiandong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jiandongyin@ncu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhou%2C+Yating%22">Zhou, Yating</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Dynamical+Systems%3A+An+International+Journal%22">Dynamical Systems: An International Journal</searchLink>. Mar2025, Vol. 40 Issue 1, p1-22. 22p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Infinite+groups%22">Infinite groups</searchLink><br /><searchLink fieldCode="DE" term="%22Point+set+theory%22">Point set theory</searchLink><br /><searchLink fieldCode="DE" term="%22Compact+spaces+%28Topology%29%22">Compact spaces (Topology)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Let X be a compact metric space, G be a countable discrete infinite amenable group continuously acting on X and $ \mathcal {F} $ F be a Følner sequence of G. In this paper, we acquire some ergodic properties of the discrete amenable group action $ (X, G) $ (X , G). By virtue of these properties, we prove the existence of syndetic sensitivity of the minimal $ \mathcal {F} $ F -centre of attraction of a point $ x\in X $ x ∈ X provided that the minimal $ \mathcal {F} $ F -centre of attraction of x is not S-generic and admits a dense set of quasi-weakly almost periodic points relative to $ \mathcal {F} $ F of $ (X, G) $ (X , G). The presented results enhance some main results of [Z. Chen and X. Dai, Chaotic dynamics of minimal centre of attraction of discrete amenable group actions, J. Math. Anal. Appl. 456 (2017), pp. 1397–1414.]. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Dynamical Systems: An International Journal is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=182791285 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/14689367.2024.2410020 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 22 StartPage: 1 Subjects: – SubjectFull: Infinite groups Type: general – SubjectFull: Point set theory Type: general – SubjectFull: Compact spaces (Topology) Type: general – SubjectFull: Mathematics Type: general Titles: – TitleFull: On chaotic dynamics of the minimal centre of attraction of discrete amenable group actions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yin, Jiandong – PersonEntity: Name: NameFull: Zhou, Yating IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 14689367 Numbering: – Type: volume Value: 40 – Type: issue Value: 1 Titles: – TitleFull: Dynamical Systems: An International Journal Type: main |
| ResultId | 1 |
