Periodicity detection on the parameter-space of a forced Chua's circuit

• Autor(a) principal: Viana E.R.
• Data de Publicação: 2012
• Outros Autores: Rubinger R.M., Dias F.O., Albuquerque, Holokx Abreu, De Oliveira A.G., Ribeiro G.M.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da Udesc
• dARK ID: ark:/33523/001300000czk0
• Texto Completo: https://repositorio.udesc.br/handle/UDESC/9406

We report a Periodicity-Detection algorithm, implemented in a LabVIEW routine for real-time data analysis on experimental chaos, to evaluate the periodicity P of experimental time series. The Periodicity-Detector (PD) algorithm was applied to the forced Chua's circuit with the aim to build the Periodicity-parameter-space (P-parameter-space). As results of the P-parameter-space, we could observe very complex dynamical behaviors, as regions of periodic structures, a new sequence of accumulation boundary, and the periodic structures organizing themselves in a period-adding bifurcation cascade. Those results agree with the maximal Lyapunov exponent and the bifurcation diagram analysis, presented in a previous work. © 2011 Springer Science+Business Media B.V.