Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660097 | Topology and its Applications | 2010 | 7 Pages |
Abstract
Let (X,d) be a compact metric space and (K(X),dH) be the space of all non-empty compact subsets of X equipped with the Hausdorff metric dH. The dynamical system (X,f) induces another dynamical system . We study the relations between the various forms of sensitivity of the systems (X,f) and . We prove that all forms of sensitivity of partly imply the same for (X,f), and the converse holds in some cases.
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Mathematics
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