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

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 1, 2008, Pages

  Bergner, A ^a   Meucci, R ^b   Naimee, K Al ^b,c   Romano, M C ^d   Thiel, M ^d   Kurths, J ^e   Arecchi, F T ^b,f  

^a UNIVERSITY OF POTSDAM   (Germany)

^b ISTITUTO NAZIONALE DI OTTICA   (Italy)

^c UNIVERSITY OF BAGHDAD   (Iraq)

^d UNIVERSITY OF ABERDEEN   (United Kingdom)

^e POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^f UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed 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;

EID: 48849108772     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.016211     Document Type: Article

References (21)

1. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.821 64, 821 (1990).
2. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization-A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, England, 2001).
3. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0 366, 1 (2002).
4. C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.1507 48, 1507 (1982).
5. C. Grebogi, E. Ott, and J. A. Yorke, Physica D PDNPDT 0167-2789 10.1016/0167-2789(83)90126-4 7, 181 (1983).
6. A. N. Pisarchik, R. Meucci, and F. T. Arecchi, Eur. Phys. J. D EPJDF6 1434-6060 10.1007/s100530170257 13, 385 (2001).
7. R. Meucci, D. Cinotti, E. Allaria, L. Billings, I. Triandaf, D. Morgan, and I. B. Schwartz, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.09.033 189, 70 (2006).
8. R. Meucci, F. Salvadori, M. V. Ivanchenko, K. A. Naimee, C. Zhou, F. T. Arecchi, S. Boccaletti, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.066207 74, 066207 (2006).
9. C. Grebogi, E. Ott, F. Romeiras, and J. A. Yorke, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.5365 36, 5365 (1987).
10. R. Meucci, E. Allaria, F. Salvadori, and F. T. Arecchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.184101 95, 184101 (2005).
11. M. Holschneider, Wavelets: An Analysis Tool (Oxford University Press, New York, 1995).
12. A. Bergner and J. Kurths (unpublished).
13. M. Rosenblum, A. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1804 76, 1804 (1996).
14. T. Pereira, M. S. Baptista, and J. Kurths, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2006.09.099 362, 159 (2007).
15. M. Rosenblum, A. Pikovsky, J. Kurths, G. V. Osipov, I. Z. Kiss, and J. L. Hudson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.264102 89, 264102 (2002).
16. G. V. Osipov, B. Hu, C. Zhou, M. V. Ivanchenko, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.024101 91, 024101 (2003).
17. M. C. Romano, M. Thiel, J. Kurths, I. Z. Kiss, and J. L. Hudson, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10095-1 71, 466 (2005).
18. N. Marwan, M. C. Romano, M. Thiel, and J. Kurths, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2006.11.001 438, 237 (2007).
19. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, Berlin, Heidelberg, 1984).
20. J. E. Lisman, Trends Neurosci. TNSCDR 0166-2236 10.1016/S0166-2236(96) 10070-9 20, 38 (1997).
21. E. M. Izhikevich, N. S. Desai, E. C. Walcott, and F. C. Hoppensteadt, Trends Neurosci. TNSCDR 0166-2236 10.1016/S0166-2236(03)00034-1 26, 161 (2003).