Dynamical Characterization Of Nonlinear Systems Through Complex Networks
Juliana Lacerda1; Vander Freitas1; Elbert Macau1
1 INPE
Resumo
The dynamical characterization of nonlinear systems is a great challenge and it is usually performed by using Lyapunov exponents and bifurcation diagrams, which is not always an easy task. In this work, we present an approach for dynamical characterization using symbolic dynamics and complex networks. As an example, we apply the proposed methodology to the Logistic Map, as it is a paradigm of dynamical systems. Some properties of the networks generated by the time series match with the expected behaviors of the system. In other words, our methodology could identify periodic windows and chaos.
Palavras-chave: Chaos and Global Nonlinear Dynamics; Complex networks; Time Series Analysis; Logistic Map