Entropia sequencial de sistemas dinâmicos

Abstract

This work aims to expose sequence entropy, a concept introduced by A. G. Kushnirenko and T. N. T. Goodman, generalizing the classical metric and topological entropies, respectively. Sequence entropy is a number that allows extracting more information about the behavior of a dynamical system, both in topological scenarios and when provided with a measure. We approach in parallel some of the usual entropy properties and their correspondent ones in sequence entropy, but not all of them are valid in the second one. In this scope, we present subsidies that base the Variational Principle for sequence entropy are discussed, besides an example where its hypotheses fail. The cardinal point of the text is a theorem by Kushnirenko, which uses sequence entropy to characterize discrete spectrum of a dynamical system