Um estudo sobre a entropia topológica de sistemas dinâmicos

Abstract

In this paper we will give a detailed proof of the Variational Principle which states that the topological entropy of a continuous application defined in a compact metric space is equal to the supremum of the entropies of invariant measures. We will also establish topological, metric and conditional entropies in a more explicit way. All of was done with reference to [11]. We will also show an example of the Variational Principle which shows that the entropy of the set of non-errant points is the same as the entropy of the set of non-errant points is the same as the entropy of space, that is, the entropy of a set is loaded on the set of wandering points.