[EN] In this paper we introduce a new notion, named controlled shadowing property and we relate it to some notions in dynamical systems such as topological ergodicity, topologically mixing and specication properties. The ...

[EN] Let X be a compact metric space and a continuous map f:X-->X which defines a discrete dynamical system (X,f). The map f induces two natural maps, namely \bar{f}:K(X)-->K(X) on the hyperspace K(X) of non-empty compact ...

[EN] We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly ...