Synchronization detection and characterization through mixed state embedding and recurrence quantification analysis
Leonardo Luiz Portes1; Luis Antonio Aguirre1
1 Universidade Federal de Minas Gerais
Resumo
We address the detection and characterization of synchronization in coupled nonlinear oscillators by comparing the temporal and magnitude signatures unfolded in both mixed state and single state spaces of each subsystem. Such properties, as the complexity estimated by the Shannon entropy, are quantified by recurrence quantification analysis (RQA) and by using a Poincar\'e section to separate the temporal and amplitude signatures of the signals.
Palavras-chave: Synchronization in Nonlinear Systems; Time Series Analysis; Analysis and Control of Nonlinear Dynamical Systems with Practical Applications; Recurrence Quantification Analysis; Shannon Entropy