Article ID Journal Published Year Pages File Type
4660097 Topology and its Applications 2010 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology