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The Topological Sensitivity with respect to Furstenberg Families
Joint Authors
Yin, Jiandong
Wang, Tengfei
Jing, Kai
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this work, a dynamical system X,f means that X is a topological space and f:X⟶X is a continuous map.
The aim of the article is to introduce the conceptions of topological sensitivity with respect to Furstenberg families, n-topological sensitivity, and multisensitivity and present some of their basic features and sufficient conditions for a dynamical system to possess some sensitivities.
Actually, it is proved that every topologically ergodic but nonminimal system is syndetically sensitive and a weakly mixing system is n-thickly topologically sensitive and multisensitive under the assumption that X admits some separability.
American Psychological Association (APA)
Wang, Tengfei& Jing, Kai& Yin, Jiandong. 2020. The Topological Sensitivity with respect to Furstenberg Families. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1153433
Modern Language Association (MLA)
Wang, Tengfei…[et al.]. The Topological Sensitivity with respect to Furstenberg Families. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1153433
American Medical Association (AMA)
Wang, Tengfei& Jing, Kai& Yin, Jiandong. The Topological Sensitivity with respect to Furstenberg Families. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1153433
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153433