Ferramentas para análise de sistemas caóticos de tempo discreto: um breve tutorial

The main goal of the current paper is to present to the reader fundamental concepts on the analysis and characterization of dicrete-time dynamical systems, in particular those presenting chaotic features. The target task is the reconstruction of strange attractors based on Takens’ Theorem, with focus on the estimation of the embedding dimension and delay. Then, the characterization of chaotic systems is discussed from the point of view of elementary typical properties of that kind of dynamical system, such as boundedness, nonlinearity, predictability and sensitivity to initial conditions. The tutorial is rich in examples and discussion.