Wavelet analysis of burst synchronization in a coupled CO2 laser system

André Bergner1, Riccardo Meucci2, Kais Al Naimee2, Stefano Euzzor2, Jürgen Kurths3, Fortunato Arecchi2
  1. 1Institute of Physics and Astronomy, University of Potsdam
  2. 2Istituto Nazionale di Ottica (CNR-INO), National Institute of Optics (CNR-INO) (Italy)
  3. 3Potsdam-Institut für Klimafolgenforschung, Potsdam Institute for Climate Impact Research

andre [dot] bergner [dot] 0 [at] googlemail [dot] com

We investigate complex synchronization phenomena of a pair of coupled chaotic CO2 lasers. This system displays episodes of bursting of different predominant frequencies, i.e. it shows a multi-scale behaviour. In order to to resolve the different time scales in that system, we use a continuous wavelet transform. Furthermore by choosing a complex wavelet, the transform yields a direct estimate of the system's phase in dependence on time and frequency, which is the major advantage of wavelets in comparison with standard Fourier methods. We mainly find that, as the coupling strength of the laser system is increased, the mutual coherency increases differently for different frequencies. We analyze data from a numerically integrated model system as well as experimental data and find good coincidence.

Manuscript not yet submitted. The submission phase is currently closed.
@inproceedings{bergner2009c4,
  author     = {Bergner, André and Meucci, Riccardo and Al Naimee, Kais and Euzzor, Stefano and Kurths, Jürgen and Arecchi, Fortunato},
  title      = {{Wavelet analysis of burst synchronization in a coupled CO2 laser system}},
  booktitle  = {DGaO-Proceedings 2009},
  series     = {DGaO-Proceedings},
  eventtitle = {110. Jahrestagung der DGaO},
  eventdate  = {2009-06-02/2009-06-05},
  venue      = {Brescia},
  publisher  = {Deutsche Gesellschaft für angewandte Optik e.V.},
  year       = {2009},
  pages      = {C4},
  langid     = {english},
  url        = {https://dgao-proceedings.de/paper/110-c4}
}
110. Annual Conference of the DGaO · Brescia · 2009