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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Experimental phase synchronization detection in non-phase coherent chaotic systems by using the discrete complex wavelet approach

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Ferreira, Maria Teodora ; Follmann, Rosangela ; Domingues, Margarete O. ; Macau, Elbert E. N. ; Kiss, Istvan Z.
Total Authors: 5
Document type: Journal article
Source: Chaos; v. 27, n. 8 AUG 2017.
Web of Science Citations: 1

Phase synchronization may emerge from mutually interacting non-linear oscillators, even under weak coupling, when phase differences are bounded, while amplitudes remain uncorrelated. However, the detection of this phenomenon can be a challenging problem to tackle. In this work, we apply the Discrete Complex Wavelet Approach (DCWA) for phase assignment, considering signals from coupled chaotic systems and experimental data. The DCWA is based on the Dual-Tree Complex Wavelet Transform (DT-CWT), which is a discrete transformation. Due to its multi-scale properties in the context of phase characterization, it is possible to obtain very good results from scalar time series, even with non-phase-coherent chaotic systems without state space reconstruction or pre-processing. The method correctly predicts the phase synchronization for a chemical experiment with three locally coupled, non-phase-coherent chaotic processes. The impact of different time-scales is demonstrated on the synchronization process that outlines the advantages of DCWA for analysis of experimental data. Published by AIP Publishing. (AU)

FAPESP's process: 15/25624-2 - Development of multiscale modelling for non-linear local plasma instabilities of astrophysics and space geophysics
Grantee:Margarete Oliveira Domingues
Support type: Regular Research Grants
FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants