Revista Integración
ISSN 0120-419X
MENDEZ LANGO, HÉCTOR. Collective dynamics. []. , 30, 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 2X of all closed and nonempty subsets of X with the Hausdorff metric, and the induced map : 2X → 2X. 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.
: Hyperspace; discrete dynamics; collective dynamics; entropy.