Abstract

MENDEZ LANGO, HÉCTOR. Collective dynamics. Integración - UIS [online]. 2012, vol.30, n.1, pp.25-41. ISSN 0120-419X.

Abstract. For a metric compact set X and a continuous map f : X → X we consider the hyperspace 2^X of all closed and nonempty subsets of X with the Hausdorff metric, and the induced map : 2^X → 2^X. In the past few years the study of the connection between the dynamical properties of ƒ and those of has became an important and fruitful topic. In this paper we survey some significant results in this area. Also we collect some open questions and conjectures.

Keywords : Hyperspace; discrete dynamics; collective dynamics; entropy.

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