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Dynamics of Induced Systems

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Topological Dynamics of Enveloping Semigroups

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Abstract

In this chapter, we study the dynamics of the (semi)flow \((2^X,T)\) where \(2^X\) is the (metric)space of nonempty closed subsets of a compact (metric)space X. We include some known results on the topology of \(2^X\) and the dynamics of \((2^X,T)\). We also study some new notions on the dynamics of \((2^X,T)\) as well as the relation between the dynamics of (XT) and \((2^X,T)\).

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Correspondence to Anima Nagar .

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Nagar, A., Singh, M. (2022). Dynamics of Induced Systems. In: Topological Dynamics of Enveloping Semigroups. SpringerBriefs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-19-7877-7_3

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