Let f be a continuous self-map defined on a compact metric space X and f¯ be a continuous
self-map naturally induced by f on the hyperspace K (X) of all nonempty compact subsets of …

Let (X, d) be a compact metric space and (κ (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 …

In this paper we study relations of various types of sensitivity between a tds (X, T) and tds (M
(X), TM) induced by (X, T) on the space of probability measures. Among other results, we …

In this paper, some characterizations are obtained on the transitivity, mildly mixing property,
a-transitivity, equicontinuity, uniform rigidity and proximality of Zadeh's extensions restricted …

Consider the surjective continuous map f: X→ X, where X is a compact metric space. In this
paper we give several stronger versions of sensitivity, such as thick sensitivity, syndetic …

For a dynamical system (X, T), let (M (X), TM) be its induced dynamical system on the space
of Borel probability measures with weak*-topology. It is proved that (M (X), TM) is a-transitive …

We introduce the concepts of sensitivity, multisensitivity, cofinite sensitivity, and syndetic
sensitivity for nonautonomous dynamical systems on uniform spaces and obtain some …

Dynamics of induced systems Page 1 Ergod. Th. & Dynam. Sys. (2017), 37, 2034–2059 doi:10.1017/etds.2016.7
c Cambridge University Press, 2016 Dynamics of induced systems ETHAN AKIN†, JOSEPH …

Some characterizations on the chain recurrence, chain transitivity, chain mixing property,
shadowing and $ h $-shadowing for Zadeh's extension are obtained. Besides, it is …

[EN] In this paper we wish to relate the dynamics of the base map to the dynamics of the
induced map. In the process, we obtain conditions on the endowed hyperspace topology …