… The dynamical system (X, f ) induces another dynamical system (K(X), f ). We study the …
forms of sensitivity of the systems (X, f ) and (K(X), f ). We prove that all forms of sensitivity of (K(X), …

… We also find relations among topological sensitivities on a dynamical system and its induced
hyperspace dynamical system. We have considered a hyperspace containing compact …

… space X and f be a continuous self-map naturally induced by f on the hyperspace K ( X )
of all … be F -sensitive or multi-sensitive are obtained. Then, the following results are proved: …

… We say that f has sensitive dependence on initial conditions if … of periodic points and has
sensitive dependence on initial … properties of induced maps on various hyper-spaces, ie, …

… The study of hyperspaces could be traced back to the early 20th century, eg, the work of …
[4] (maps on spaces of probability measures and on hyperspaces). During the last quarter of the …

… forms of both sensitivity and transitivity for the non-autonomous system (X, f1,∞) and its
induced systems (K(X),f1,∞). We also study various stronger forms of sensitivity for product maps…

… dynamics induced by … induced system cannot have dense set of periodic points. In the end
we give example to show that the induced dynamics in this case may or may not be sensitive. …

… just the chaos for induced maps in hyperspaces. … call the induced hyperspace chaos as a
chaos for the induced (hyper)maps in hyperspaces or, as in our title, as a chaos for the induced …

… of F-collective sensitivity and (F1,F2)-collective sensitivity for any dynamical system to
characterize the F-sensitivity and (F1,F2)-sensitivity of induced hyperspace dynamical systems …

… points imply sensitivity for nonautonomous systems on Hausdorff uniform spaces. We also
… sensitivity and other stronger versions of sensitivity for the systems induced on hyperspaces …