Multi-sensitivity with respect to a vector for semiflows defined on Hausdorff uniform spaces
We introduce and study several stronger notions of sensitivity, such as multi-sensitivity with respect to a vector, N -sensitivity and strong multi-sensitivity, for semiflows defined on Hausdorff uniform spaces. Some sufficient conditions for a semiflow to be multi-sensitive with respect to a vector...
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Veröffentlicht in: | Semigroup forum 2023-04, Vol.106 (2), p.444-459 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We introduce and study several stronger notions of sensitivity, such as multi-sensitivity with respect to a vector,
N
-sensitivity and strong multi-sensitivity, for semiflows defined on Hausdorff uniform spaces. Some sufficient conditions for a semiflow to be multi-sensitive with respect to a vector are presented. Moreover, the notion of multi-sensitivity with respect to a vector is studied on the arbitrary product of semiflows and on hyperspatial semiflows. Some examples are also provided to illustrate the results obtained. |
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ISSN: | 0037-1912 1432-2137 |
DOI: | 10.1007/s00233-022-10335-w |