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
Hauptverfasser: Mahajan, Arpit, Thakur, Rahul, Das, Ruchi
Format: Artikel
Sprache:eng
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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.
ISSN:0037-1912
1432-2137
DOI:10.1007/s00233-022-10335-w