Continuous wavelet transform in the analysis of burst synchronization in a coupled laser system

Year: 2008

Authors: Bergner A., Meucci R., Al Naimee K., Romano M.C., Thiel M., Kurths J., Arecchi F.T.

Autors Affiliation: Center for Dynamics of Complex Systems, University of Potsdam, 14469 Potsdam, Germany;
CNR – Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Physics, University of Baghdad, Baghdad, Iraq;
College of Physical Sciences, Kings College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom;
Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany;
Department of Physics, Università di Firenze, Firenze, Italy

Abstract: The transition to synchronization of a pair of coupled chaotic CO(2) lasers is investigated numerically in a model system. This system displays episodes of bursting of different predominant frequencies. Due to the multiple time scales present in this system, we use a complex continuous wavelet transform to perform the synchronization analysis. Thus it enables us to resolve the time of occurrence as well as the frequency of an event in a given time series up to an intrinsic uncertainty. Furthermore, due to the complex nature of that wavelet transform, it yields a direct estimate of the system\’s phase. We show that, as the coupling strength of the laser system is increased, the mutual coherency increases differently for different frequencies. Additionally we test our method with experimental data.

Journal/Review: PHYSICAL REVIEW E

Volume: 78 (1)      Pages from: 016211  to: 016211

KeyWords: Chlorine compounds; Lasers; Synchronization; Time series analysis; Wavelet transforms, Burst synchronization; CO2- lasers; Complex nature; Continuous wavelet transform; Coupling strengths; Different frequencies; Experimental data; Laser systems; Model systems; Multiple time scales; System displays; Time-series, Chaotic systems
DOI: 10.1103/PhysRevE.78.016211

Citations: 3
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