Phase synchronization in a modulated chaotic laser array

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 9, 2004, Pages 3205-3216

  Deshazer, David J ^a,b   Breban, Romulus ^a   Ott, Edward ^a,c   Roy, Rajarshi ^a,d  

^a UNIVERSITY OF MARYLAND   (United States)

^b DOW CORNING CORPORATION   (United States)

^c Department of Electrical Engineering ^*

^d Inst for Phys Sci and Technology   (United States)

Author keywords

Chaos synchronization; Entrainment; Laser array; Nd:YAG; Phase synchronization

Indexed keywords

ARRAYS; DIELECTRIC MATERIALS; LASERS; LIGHT MODULATORS; NONLINEAR SYSTEMS; Q SWITCHING; TIME SERIES ANALYSIS;

CHAOS SYNCHRONIZATION; ENTRAINMENT; LASER ARRAY; ND:YAG; PHASE SYNCHRONIZATION;

CHAOS THEORY;

EID: 10444231141     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404011302     Document Type: Article

References (32)

1. Allaria, E., Arecchi, F. T., DiGarbo, A. & Meucci, R. [2001] "Synchronization of homoclinic chaos," Phys. Rev. Lett. 86, 791-794.
2. Arecchi, F. T., Lippi, G. L., Puccioni, G. P. & Tredicce, J. R. [1984] "Deterministic chaos in laser with injected signal," Opt. Commun. 51, 308-314.
3. Arecchi, F. T., Meucci, R., Allaria, E., DiGarbo, A. & Tsimring, L. S. [2002] "Delayed self-synchronization in homoclinic chaos," Phys. Rev. E65, 046237.
4. Ashwin, P., Terry, J. R., Thornburg, Jr., K. S. & Roy, R. [1998] "Blowout bifurcation in a system of coupled chaotic lasers," Phys. Rev. E58, 7186-7189.
5. Born, M. & Wolf, E. [1999] Principles of Optics 7th edition (Cambridge University Press, NY), pp. 557-562.
6. Breban, R. & Ott, E. [2002] "Phase synchronization of chaotic attractors in the presence of two competing periodic signals," Phys. Rev. E65, 056219.
7. DeShazer, D. J., Breban, R., Ott, E. & Roy, R. [2001] "Detecting phase synchronization in a chaotic laser array," Phys. Rev. Lett. 87, 044101.
8. DeShazer, D. J., Tighe, B. P., Kurths, J. & Roy, R. [2004] "Experimental observation of noise-induced synchronization of bursting dynamical systems," IEEE J. Sel. Topics Quant. Electron., to appear.
9. Fabiny, L., Colet, P., Roy, R. & Lenstra, D. [1993] "Coherence and phase dynamics of spatially coupled solid-state kasers," Phys. Rev. A47, 4287-4296.
10. Gabor, D. [1946] "Theory of communication," J. IEEE (London) 93, 429-459.
11. Kocarev, L. & Parlitz, U. [1995] "General approach for chaotic synchronization with applications to communication," Phys. Rev. Lett. 74, 5028-5031.
12. Lachaux, J.-P., Rodriguez, E., Le Van Quen, M., Lutz, A., Martinerie, J. & Varela, F. J. [2000] "Studying single-trials of phase synchronous activity in the brain," Int. J. Bifurcation and Chaos 10, 2429-2439.
13. Maza, D., Vallone, A., Mancini, H. & Boccaletti, S. [2000] "Experimental phase synchronization of a chaotic convective flow," Phys. Rev. Lett. 85, 5567-5570.
14. McAllister, R., Meucci, R., DeShazer, D. J. & Roy, R. [2003] "Competition between two frequencies for phase synchronization of a chaotic laser," Phys. Rev. E67, 015202.
15. Mormann, F., Lehnertz, K., David, P. & Elger, C. E. [2000] "Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients," Physica D144 358-369.
16. Oka, M., Mausda, H., Kareda, Y. & Kubota, S. [1992] "Laser-diode-pumped phase-locked ND-YAG laser arrays," IEEE J. Quant. Electron. 28, 1142-1147.
17. Pikovsky, A. S. [1985] "Synchronization of the stochastic self-excited oscillation phase using a periodic external signal," Soviet J. Commun. Technol. Electron. 30, 85-90.
18. Pikovsky, A. S., Osipov, G., Rosenblum, M., Zaks, M. & Kurths, J. [1997] "Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization," Phys. Rev. Lett. 79, 47-50.
19. Pikovsky, A. S., Rosenblum, M. G. & Kurths, J. [2000] "Phase synchronization in regular and chaotic systems," Int. J. Bifurcation and Chaos 10, 2289-2305.
20. Rosa, Jr., E., Ott, E. & Hess, M. H. [1998] "Transition to phase synchronization of chaos," Phys. Rev. Lett. 80, 1642-1645.
21. Rosenblum, M. G., Pikovsky, A. S. & Kurths, J. [1996] "Phase synchronization of chaotic oscillators," Phys. Rev. Lett. 76, 1804-1807.
22. Roy, R. & Thornburg, Jr., K. S. [1994] "Experimental synchronization of chaotic lasers," Phys. Rev. Lett. 72, 2009-2012.
23. Stefanovska, A., Haken, H., McClintock, P. V. E., Hožič, M., Bajrović, F. & Ribarič, R. [2000] "Reversible transitions between synchronization states of the cardiorespiratory system," Phys. Rev. Lett. 85, 4831-4834.
24. Stone, E. F. [1992] "Frequency entrainment of a phase coherent attractor," Phys. Lett. A163, 367-374.
25. Tass, P., Rosenblum, M. G., Weule, J., Kurths, J., Pikovsky, A. S., Volkmann, J., Schnitzler, A. & Freund, H.-J. [1998] "Detection of n:m phase locking from noisy data: Application to magnetoencephalography," Phys. Rev. Lett. 81, 3291-3294.
26. Terry J. R., Thornburg, Jr., K. S., DeShazer, D. J., VanWiggeren, G. D., Zhu, S., Ashwin, P. & Roy, R. [1999] "Synchronization of chaos in an array of three lasers," Phys. Rev. E59, 4036-4043.
27. Thornburg, Jr., K. S., Möller, M., Roy, R., Carr, T. W., Li, R.-D. & Erneux, T. [1997] "Chaos and coherence in coupled lasers," Phys. Rev. E55, 3865-3869.
28. Ticos, C. M., Rosa, Jr., E., Pardo, W. B., Walkenstein, J. A. & Monti, M. [2000] "Experimental real-time phase synchronization of a paced chaotic plasma discharge," Phys. Rev. Lett. 85, 2929-2932.
29. VanWiggeren, G. D. & Roy, R. [1998] "Communication with chaotic lasers," Science 279, 1198-1200.
30. VanWiggeren, G. D. & Roy, R. [1999] "Chaotic communication using time-delayed optical systems," Int. J. Bifurcation and Chaos 9, 2129-2156.
31. Winful, H. G. & Rahman, L. [1990] "Synchronized chaos and spatiotemporal chaos in arrays of coupled lasers," Phys. Rev. Lett. 65, 1575-1578.
32. Zaks, M. A., Park, E.-H., Rosenblum, M. G. & Kurths, J. [1999] "Alternating locking ratios in imperfect phase synchronization," Phys. Rev. Lett. 82, 4228-4231.